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Simplifying -7(-1b + 1) + -3(3b + 8) = -31 Reorder the terms: -7(1 + -1b) + -3(3b + 8) = -31 (1 * -7 + -1b * -7) + -3(3b + 8) = -31 (-7 + 7b) + -3(3b + 8) = -31 Reorder the terms: -7 + 7b + -3(8 + 3b) = -31 -7 + 7b + (8 * -3 + 3b * -3) = -31 -7 + 7b + (-24 + -9b) = -31 Reorder the terms: -7 + -24 + 7b + -9b = -31 Combine like terms: -7 + -24 = -31 -31 + 7b + -9b = -31 Combine like terms: 7b + -9b = -2b -31 + -2b = -31 Add '31' to each side of the equation. -31 + 31 + -2b = -31 + 31 Combine like terms: -31 + 31 = 0 0 + -2b = -31 + 31 -2b = -31 + 31 Combine like terms: -31 + 31 = 0 -2b = 0 Solving -2b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '-2'. b = 0 Simplifying b = 0
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