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Simplifying -117 = -3 + -6(8b + 3) Reorder the terms: -117 = -3 + -6(3 + 8b) -117 = -3 + (3 * -6 + 8b * -6) -117 = -3 + (-18 + -48b) Combine like terms: -3 + -18 = -21 -117 = -21 + -48b Solving -117 = -21 + -48b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '48b' to each side of the equation. -117 + 48b = -21 + -48b + 48b Combine like terms: -48b + 48b = 0 -117 + 48b = -21 + 0 -117 + 48b = -21 Add '117' to each side of the equation. -117 + 117 + 48b = -21 + 117 Combine like terms: -117 + 117 = 0 0 + 48b = -21 + 117 48b = -21 + 117 Combine like terms: -21 + 117 = 96 48b = 96 Divide each side by '48'. b = 2 Simplifying b = 2
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