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Simplifying 4(-5 + -2b) = -7(2b + 2) (-5 * 4 + -2b * 4) = -7(2b + 2) (-20 + -8b) = -7(2b + 2) Reorder the terms: -20 + -8b = -7(2 + 2b) -20 + -8b = (2 * -7 + 2b * -7) -20 + -8b = (-14 + -14b) Solving -20 + -8b = -14 + -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. -20 + -8b + 14b = -14 + -14b + 14b Combine like terms: -8b + 14b = 6b -20 + 6b = -14 + -14b + 14b Combine like terms: -14b + 14b = 0 -20 + 6b = -14 + 0 -20 + 6b = -14 Add '20' to each side of the equation. -20 + 20 + 6b = -14 + 20 Combine like terms: -20 + 20 = 0 0 + 6b = -14 + 20 6b = -14 + 20 Combine like terms: -14 + 20 = 6 6b = 6 Divide each side by '6'. b = 1 Simplifying b = 1
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