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Simplifying 4(b + 4) + b = 4(b + -2) + -2 Reorder the terms: 4(4 + b) + b = 4(b + -2) + -2 (4 * 4 + b * 4) + b = 4(b + -2) + -2 (16 + 4b) + b = 4(b + -2) + -2 Combine like terms: 4b + b = 5b 16 + 5b = 4(b + -2) + -2 Reorder the terms: 16 + 5b = 4(-2 + b) + -2 16 + 5b = (-2 * 4 + b * 4) + -2 16 + 5b = (-8 + 4b) + -2 Reorder the terms: 16 + 5b = -8 + -2 + 4b Combine like terms: -8 + -2 = -10 16 + 5b = -10 + 4b Solving 16 + 5b = -10 + 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. 16 + 5b + -4b = -10 + 4b + -4b Combine like terms: 5b + -4b = 1b 16 + 1b = -10 + 4b + -4b Combine like terms: 4b + -4b = 0 16 + 1b = -10 + 0 16 + 1b = -10 Add '-16' to each side of the equation. 16 + -16 + 1b = -10 + -16 Combine like terms: 16 + -16 = 0 0 + 1b = -10 + -16 1b = -10 + -16 Combine like terms: -10 + -16 = -26 1b = -26 Divide each side by '1'. b = -26 Simplifying b = -26
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