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Simplifying -4(1 + -6b) + -4(1 + 7b) = 20 (1 * -4 + -6b * -4) + -4(1 + 7b) = 20 (-4 + 24b) + -4(1 + 7b) = 20 -4 + 24b + (1 * -4 + 7b * -4) = 20 -4 + 24b + (-4 + -28b) = 20 Reorder the terms: -4 + -4 + 24b + -28b = 20 Combine like terms: -4 + -4 = -8 -8 + 24b + -28b = 20 Combine like terms: 24b + -28b = -4b -8 + -4b = 20 Solving -8 + -4b = 20 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -4b = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -4b = 20 + 8 -4b = 20 + 8 Combine like terms: 20 + 8 = 28 -4b = 28 Divide each side by '-4'. b = -7 Simplifying b = -7
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