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Simplifying 2(b + -7) = 5(b + 1) + -13 Reorder the terms: 2(-7 + b) = 5(b + 1) + -13 (-7 * 2 + b * 2) = 5(b + 1) + -13 (-14 + 2b) = 5(b + 1) + -13 Reorder the terms: -14 + 2b = 5(1 + b) + -13 -14 + 2b = (1 * 5 + b * 5) + -13 -14 + 2b = (5 + 5b) + -13 Reorder the terms: -14 + 2b = 5 + -13 + 5b Combine like terms: 5 + -13 = -8 -14 + 2b = -8 + 5b Solving -14 + 2b = -8 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -14 + 2b + -5b = -8 + 5b + -5b Combine like terms: 2b + -5b = -3b -14 + -3b = -8 + 5b + -5b Combine like terms: 5b + -5b = 0 -14 + -3b = -8 + 0 -14 + -3b = -8 Add '14' to each side of the equation. -14 + 14 + -3b = -8 + 14 Combine like terms: -14 + 14 = 0 0 + -3b = -8 + 14 -3b = -8 + 14 Combine like terms: -8 + 14 = 6 -3b = 6 Divide each side by '-3'. b = -2 Simplifying b = -2
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