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Simplifying 7(b + 2) + -13b = 2(b + -1) + 6 Reorder the terms: 7(2 + b) + -13b = 2(b + -1) + 6 (2 * 7 + b * 7) + -13b = 2(b + -1) + 6 (14 + 7b) + -13b = 2(b + -1) + 6 Combine like terms: 7b + -13b = -6b 14 + -6b = 2(b + -1) + 6 Reorder the terms: 14 + -6b = 2(-1 + b) + 6 14 + -6b = (-1 * 2 + b * 2) + 6 14 + -6b = (-2 + 2b) + 6 Reorder the terms: 14 + -6b = -2 + 6 + 2b Combine like terms: -2 + 6 = 4 14 + -6b = 4 + 2b Solving 14 + -6b = 4 + 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. 14 + -6b + -2b = 4 + 2b + -2b Combine like terms: -6b + -2b = -8b 14 + -8b = 4 + 2b + -2b Combine like terms: 2b + -2b = 0 14 + -8b = 4 + 0 14 + -8b = 4 Add '-14' to each side of the equation. 14 + -14 + -8b = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -8b = 4 + -14 -8b = 4 + -14 Combine like terms: 4 + -14 = -10 -8b = -10 Divide each side by '-8'. b = 1.25 Simplifying b = 1.25
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