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Simplifying -4(12b + 20) = 4(-2b + 20) Reorder the terms: -4(20 + 12b) = 4(-2b + 20) (20 * -4 + 12b * -4) = 4(-2b + 20) (-80 + -48b) = 4(-2b + 20) Reorder the terms: -80 + -48b = 4(20 + -2b) -80 + -48b = (20 * 4 + -2b * 4) -80 + -48b = (80 + -8b) Solving -80 + -48b = 80 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -80 + -48b + 8b = 80 + -8b + 8b Combine like terms: -48b + 8b = -40b -80 + -40b = 80 + -8b + 8b Combine like terms: -8b + 8b = 0 -80 + -40b = 80 + 0 -80 + -40b = 80 Add '80' to each side of the equation. -80 + 80 + -40b = 80 + 80 Combine like terms: -80 + 80 = 0 0 + -40b = 80 + 80 -40b = 80 + 80 Combine like terms: 80 + 80 = 160 -40b = 160 Divide each side by '-40'. b = -4 Simplifying b = -4
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