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Simplifying 81 = -8(1 + -2b) + -7 81 = (1 * -8 + -2b * -8) + -7 81 = (-8 + 16b) + -7 Reorder the terms: 81 = -8 + -7 + 16b Combine like terms: -8 + -7 = -15 81 = -15 + 16b Solving 81 = -15 + 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. 81 + -16b = -15 + 16b + -16b Combine like terms: 16b + -16b = 0 81 + -16b = -15 + 0 81 + -16b = -15 Add '-81' to each side of the equation. 81 + -81 + -16b = -15 + -81 Combine like terms: 81 + -81 = 0 0 + -16b = -15 + -81 -16b = -15 + -81 Combine like terms: -15 + -81 = -96 -16b = -96 Divide each side by '-16'. b = 6 Simplifying b = 6
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