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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 = -138 48b = -138 Divide each side by '48'. b = -2.875 Simplifying b = -2.875
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