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Simplifying 7 = 2(1 + -2b) + -3 7 = (1 * 2 + -2b * 2) + -3 7 = (2 + -4b) + -3 Reorder the terms: 7 = 2 + -3 + -4b Combine like terms: 2 + -3 = -1 7 = -1 + -4b Solving 7 = -1 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 7 + 4b = -1 + -4b + 4b Combine like terms: -4b + 4b = 0 7 + 4b = -1 + 0 7 + 4b = -1 Add '-7' to each side of the equation. 7 + -7 + 4b = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 4b = -1 + -7 4b = -1 + -7 Combine like terms: -1 + -7 = -8 4b = -8 Divide each side by '4'. b = -2 Simplifying b = -2
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