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Simplifying 4b + 4(-4b + -2) = 4(1 + -4b) Reorder the terms: 4b + 4(-2 + -4b) = 4(1 + -4b) 4b + (-2 * 4 + -4b * 4) = 4(1 + -4b) 4b + (-8 + -16b) = 4(1 + -4b) Reorder the terms: -8 + 4b + -16b = 4(1 + -4b) Combine like terms: 4b + -16b = -12b -8 + -12b = 4(1 + -4b) -8 + -12b = (1 * 4 + -4b * 4) -8 + -12b = (4 + -16b) Solving -8 + -12b = 4 + -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. -8 + -12b + 16b = 4 + -16b + 16b Combine like terms: -12b + 16b = 4b -8 + 4b = 4 + -16b + 16b Combine like terms: -16b + 16b = 0 -8 + 4b = 4 + 0 -8 + 4b = 4 Add '8' to each side of the equation. -8 + 8 + 4b = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 4b = 4 + 8 4b = 4 + 8 Combine like terms: 4 + 8 = 12 4b = 12 Divide each side by '4'. b = 3 Simplifying b = 3
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