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Simplifying -5(b + 6) = 2(1 + -1b) + 7 Reorder the terms: -5(6 + b) = 2(1 + -1b) + 7 (6 * -5 + b * -5) = 2(1 + -1b) + 7 (-30 + -5b) = 2(1 + -1b) + 7 -30 + -5b = (1 * 2 + -1b * 2) + 7 -30 + -5b = (2 + -2b) + 7 Reorder the terms: -30 + -5b = 2 + 7 + -2b Combine like terms: 2 + 7 = 9 -30 + -5b = 9 + -2b Solving -30 + -5b = 9 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -30 + -5b + 2b = 9 + -2b + 2b Combine like terms: -5b + 2b = -3b -30 + -3b = 9 + -2b + 2b Combine like terms: -2b + 2b = 0 -30 + -3b = 9 + 0 -30 + -3b = 9 Add '30' to each side of the equation. -30 + 30 + -3b = 9 + 30 Combine like terms: -30 + 30 = 0 0 + -3b = 9 + 30 -3b = 9 + 30 Combine like terms: 9 + 30 = 39 -3b = 39 Divide each side by '-3'. b = -13 Simplifying b = -13
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