How do you solve #28.5+ 5b = - 4.5( 7b + 4)#?

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Answer 1 · 2016-11-28T18:06:27

#b = -1.27# rounded to the nearest hundredth.

First, expand the term in parenthesis:

#28.5 + 5b = -4.5*7b + -4.5*4#

#28.5 + 5b = -31.5b - 18#

Next, solve for #b# using the necessary mathematics while keeping the equation balanced:

#28.5 + 5b - 28.5 + 31.5b = -31.5b - 18 - 28.5 + 31.5b#

#5b + 31.5b = -18 - 28.5#

#36.5b = -46.5b#

#(36.5b)/36.5 = (-46.5)/36.5#

#b = -1.27# rounded to the nearest hundredth.