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Simplifying 8(-7 + -1b) = -3(b + 7) (-7 * 8 + -1b * 8) = -3(b + 7) (-56 + -8b) = -3(b + 7) Reorder the terms: -56 + -8b = -3(7 + b) -56 + -8b = (7 * -3 + b * -3) -56 + -8b = (-21 + -3b) Solving -56 + -8b = -21 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -56 + -8b + 3b = -21 + -3b + 3b Combine like terms: -8b + 3b = -5b -56 + -5b = -21 + -3b + 3b Combine like terms: -3b + 3b = 0 -56 + -5b = -21 + 0 -56 + -5b = -21 Add '56' to each side of the equation. -56 + 56 + -5b = -21 + 56 Combine like terms: -56 + 56 = 0 0 + -5b = -21 + 56 -5b = -21 + 56 Combine like terms: -21 + 56 = 35 -5b = 35 Divide each side by '-5'. b = -7 Simplifying b = -7
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