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Simplifying 4(b + 1) = -1b + 6(b + -2) Reorder the terms: 4(1 + b) = -1b + 6(b + -2) (1 * 4 + b * 4) = -1b + 6(b + -2) (4 + 4b) = -1b + 6(b + -2) Reorder the terms: 4 + 4b = -1b + 6(-2 + b) 4 + 4b = -1b + (-2 * 6 + b * 6) 4 + 4b = -1b + (-12 + 6b) Reorder the terms: 4 + 4b = -12 + -1b + 6b Combine like terms: -1b + 6b = 5b 4 + 4b = -12 + 5b Solving 4 + 4b = -12 + 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. 4 + 4b + -5b = -12 + 5b + -5b Combine like terms: 4b + -5b = -1b 4 + -1b = -12 + 5b + -5b Combine like terms: 5b + -5b = 0 4 + -1b = -12 + 0 4 + -1b = -12 Add '-4' to each side of the equation. 4 + -4 + -1b = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = -12 + -4 -1b = -12 + -4 Combine like terms: -12 + -4 = -16 -1b = -16 Divide each side by '-1'. b = 16 Simplifying b = 16
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