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