Step 1) Expand the term within parenthesis on the right side of the equation:
#21.882 + 4.9n = (color(red)(4.2) xx 1.8n) + (color(red)(4.2) xx 3.69)#
#21.882 + 4.9n = 7.56n + 15.498#
Step 2) Subtract the necessary terms from each side of the equation to isolate the #n# terms on one side of the equation and the constants on the other side of the equation while keeping the equation balanced.
#21.882 + 4.9n - color(red)(4.9n) - color(blue)(15.498) = 7.56n + 15.498 - color(red)(4.9n) - color(blue)(15.498) #
Step 3) Group and combine like terms on each side of the equation:
#21.882 - color(blue)(15.498) + 4.9n - color(red)(4.9n) = 7.56n - color(red)(4.9n) + 15.498 - color(blue)(15.498) #
#6.384 + 0 = (7.56 - 4.9)n + 0 #
#6.384 =2.66n#
Step 4) Divide each side of the equation by #color(red)(2.66)# to solve for #n# while keeping the equation balanced:
#6.384/color(red)(2.66) = (2.66n)/color(red)(2.66)#
#2.4 = (color(red)(cancel(color(black)(2.66)))n)/cancel(color(red)(2.66))#
#2.4 = n#
#n = 2.4#
