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Simplifying -137 = -7 + -2(8b + 1) Reorder the terms: -137 = -7 + -2(1 + 8b) -137 = -7 + (1 * -2 + 8b * -2) -137 = -7 + (-2 + -16b) Combine like terms: -7 + -2 = -9 -137 = -9 + -16b Solving -137 = -9 + -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. -137 + 16b = -9 + -16b + 16b Combine like terms: -16b + 16b = 0 -137 + 16b = -9 + 0 -137 + 16b = -9 Add '137' to each side of the equation. -137 + 137 + 16b = -9 + 137 Combine like terms: -137 + 137 = 0 0 + 16b = -9 + 137 16b = -9 + 137 Combine like terms: -9 + 137 = 128 16b = 128 Divide each side by '16'. b = 8 Simplifying b = 8
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