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Simplifying 2(b + 4) + b = 2(b + -3) + -1 Reorder the terms: 2(4 + b) + b = 2(b + -3) + -1 (4 * 2 + b * 2) + b = 2(b + -3) + -1 (8 + 2b) + b = 2(b + -3) + -1 Combine like terms: 2b + b = 3b 8 + 3b = 2(b + -3) + -1 Reorder the terms: 8 + 3b = 2(-3 + b) + -1 8 + 3b = (-3 * 2 + b * 2) + -1 8 + 3b = (-6 + 2b) + -1 Reorder the terms: 8 + 3b = -6 + -1 + 2b Combine like terms: -6 + -1 = -7 8 + 3b = -7 + 2b Solving 8 + 3b = -7 + 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. 8 + 3b + -2b = -7 + 2b + -2b Combine like terms: 3b + -2b = 1b 8 + 1b = -7 + 2b + -2b Combine like terms: 2b + -2b = 0 8 + 1b = -7 + 0 8 + 1b = -7 Add '-8' to each side of the equation. 8 + -8 + 1b = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 1b = -7 + -8 1b = -7 + -8 Combine like terms: -7 + -8 = -15 1b = -15 Divide each side by '1'. b = -15 Simplifying b = -15
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