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Simplifying -4(b + 5) = -1b + 7 Reorder the terms: -4(5 + b) = -1b + 7 (5 * -4 + b * -4) = -1b + 7 (-20 + -4b) = -1b + 7 Reorder the terms: -20 + -4b = 7 + -1b Solving -20 + -4b = 7 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -20 + -4b + b = 7 + -1b + b Combine like terms: -4b + b = -3b -20 + -3b = 7 + -1b + b Combine like terms: -1b + b = 0 -20 + -3b = 7 + 0 -20 + -3b = 7 Add '20' to each side of the equation. -20 + 20 + -3b = 7 + 20 Combine like terms: -20 + 20 = 0 0 + -3b = 7 + 20 -3b = 7 + 20 Combine like terms: 7 + 20 = 27 -3b = 27 Divide each side by '-3'. b = -9 Simplifying b = -9
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