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Simplifying 113 = -4(-7 + 3b) + 1 113 = (-7 * -4 + 3b * -4) + 1 113 = (28 + -12b) + 1 Reorder the terms: 113 = 28 + 1 + -12b Combine like terms: 28 + 1 = 29 113 = 29 + -12b Solving 113 = 29 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. 113 + 12b = 29 + -12b + 12b Combine like terms: -12b + 12b = 0 113 + 12b = 29 + 0 113 + 12b = 29 Add '-113' to each side of the equation. 113 + -113 + 12b = 29 + -113 Combine like terms: 113 + -113 = 0 0 + 12b = 29 + -113 12b = 29 + -113 Combine like terms: 29 + -113 = -84 12b = -84 Divide each side by '12'. b = -7 Simplifying b = -7
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