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Simplifying -8b + -12 = -5(3b + 8) Reorder the terms: -12 + -8b = -5(3b + 8) Reorder the terms: -12 + -8b = -5(8 + 3b) -12 + -8b = (8 * -5 + 3b * -5) -12 + -8b = (-40 + -15b) Solving -12 + -8b = -40 + -15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15b' to each side of the equation. -12 + -8b + 15b = -40 + -15b + 15b Combine like terms: -8b + 15b = 7b -12 + 7b = -40 + -15b + 15b Combine like terms: -15b + 15b = 0 -12 + 7b = -40 + 0 -12 + 7b = -40 Add '12' to each side of the equation. -12 + 12 + 7b = -40 + 12 Combine like terms: -12 + 12 = 0 0 + 7b = -40 + 12 7b = -40 + 12 Combine like terms: -40 + 12 = -28 7b = -28 Divide each side by '7'. b = -4 Simplifying b = -4
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