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Simplifying 4(b + 2) + b = 4(b + -3) + -2 Reorder the terms: 4(2 + b) + b = 4(b + -3) + -2 (2 * 4 + b * 4) + b = 4(b + -3) + -2 (8 + 4b) + b = 4(b + -3) + -2 Combine like terms: 4b + b = 5b 8 + 5b = 4(b + -3) + -2 Reorder the terms: 8 + 5b = 4(-3 + b) + -2 8 + 5b = (-3 * 4 + b * 4) + -2 8 + 5b = (-12 + 4b) + -2 Reorder the terms: 8 + 5b = -12 + -2 + 4b Combine like terms: -12 + -2 = -14 8 + 5b = -14 + 4b Solving 8 + 5b = -14 + 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. 8 + 5b + -4b = -14 + 4b + -4b Combine like terms: 5b + -4b = 1b 8 + 1b = -14 + 4b + -4b Combine like terms: 4b + -4b = 0 8 + 1b = -14 + 0 8 + 1b = -14 Add '-8' to each side of the equation. 8 + -8 + 1b = -14 + -8 Combine like terms: 8 + -8 = 0 0 + 1b = -14 + -8 1b = -14 + -8 Combine like terms: -14 + -8 = -22 1b = -22 Divide each side by '1'. b = -22 Simplifying b = -22
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