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Simplifying 4(b + -1) = 4(-4 + 4b) Reorder the terms: 4(-1 + b) = 4(-4 + 4b) (-1 * 4 + b * 4) = 4(-4 + 4b) (-4 + 4b) = 4(-4 + 4b) -4 + 4b = (-4 * 4 + 4b * 4) -4 + 4b = (-16 + 16b) Solving -4 + 4b = -16 + 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. -4 + 4b + -16b = -16 + 16b + -16b Combine like terms: 4b + -16b = -12b -4 + -12b = -16 + 16b + -16b Combine like terms: 16b + -16b = 0 -4 + -12b = -16 + 0 -4 + -12b = -16 Add '4' to each side of the equation. -4 + 4 + -12b = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -12b = -16 + 4 -12b = -16 + 4 Combine like terms: -16 + 4 = -12 -12b = -12 Divide each side by '-12'. b = 1 Simplifying b = 1
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