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Simplifying -1(12 + 15b) = -3(-8 + -1b) (12 * -1 + 15b * -1) = -3(-8 + -1b) (-12 + -15b) = -3(-8 + -1b) -12 + -15b = (-8 * -3 + -1b * -3) -12 + -15b = (24 + 3b) Solving -12 + -15b = 24 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -12 + -15b + -3b = 24 + 3b + -3b Combine like terms: -15b + -3b = -18b -12 + -18b = 24 + 3b + -3b Combine like terms: 3b + -3b = 0 -12 + -18b = 24 + 0 -12 + -18b = 24 Add '12' to each side of the equation. -12 + 12 + -18b = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -18b = 24 + 12 -18b = 24 + 12 Combine like terms: 24 + 12 = 36 -18b = 36 Divide each side by '-18'. b = -2 Simplifying b = -2
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