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