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