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Simplifying -135 = -5 + 5(-3b + -2) Reorder the terms: -135 = -5 + 5(-2 + -3b) -135 = -5 + (-2 * 5 + -3b * 5) -135 = -5 + (-10 + -15b) Combine like terms: -5 + -10 = -15 -135 = -15 + -15b Solving -135 = -15 + -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. -135 + 15b = -15 + -15b + 15b Combine like terms: -15b + 15b = 0 -135 + 15b = -15 + 0 -135 + 15b = -15 Add '135' to each side of the equation. -135 + 135 + 15b = -15 + 135 Combine like terms: -135 + 135 = 0 0 + 15b = -15 + 135 15b = -15 + 135 Combine like terms: -15 + 135 = 120 15b = 120 Divide each side by '15'. b = 8 Simplifying b = 8
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