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Simplifying 4(b + -1) + -2(-6b + -4) = 36 Reorder the terms: 4(-1 + b) + -2(-6b + -4) = 36 (-1 * 4 + b * 4) + -2(-6b + -4) = 36 (-4 + 4b) + -2(-6b + -4) = 36 Reorder the terms: -4 + 4b + -2(-4 + -6b) = 36 -4 + 4b + (-4 * -2 + -6b * -2) = 36 -4 + 4b + (8 + 12b) = 36 Reorder the terms: -4 + 8 + 4b + 12b = 36 Combine like terms: -4 + 8 = 4 4 + 4b + 12b = 36 Combine like terms: 4b + 12b = 16b 4 + 16b = 36 Solving 4 + 16b = 36 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 16b = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 16b = 36 + -4 16b = 36 + -4 Combine like terms: 36 + -4 = 32 16b = 32 Divide each side by '16'. b = 2 Simplifying b = 2
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