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Simplifying 9(b + -4) + -3b = 5(2b + -8) Reorder the terms: 9(-4 + b) + -3b = 5(2b + -8) (-4 * 9 + b * 9) + -3b = 5(2b + -8) (-36 + 9b) + -3b = 5(2b + -8) Combine like terms: 9b + -3b = 6b -36 + 6b = 5(2b + -8) Reorder the terms: -36 + 6b = 5(-8 + 2b) -36 + 6b = (-8 * 5 + 2b * 5) -36 + 6b = (-40 + 10b) Solving -36 + 6b = -40 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -36 + 6b + -10b = -40 + 10b + -10b Combine like terms: 6b + -10b = -4b -36 + -4b = -40 + 10b + -10b Combine like terms: 10b + -10b = 0 -36 + -4b = -40 + 0 -36 + -4b = -40 Add '36' to each side of the equation. -36 + 36 + -4b = -40 + 36 Combine like terms: -36 + 36 = 0 0 + -4b = -40 + 36 -4b = -40 + 36 Combine like terms: -40 + 36 = -4 -4b = -4 Divide each side by '-4'. b = 1 Simplifying b = 1
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