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Simplifying 6(b + -8) = -40 + 7b Reorder the terms: 6(-8 + b) = -40 + 7b (-8 * 6 + b * 6) = -40 + 7b (-48 + 6b) = -40 + 7b Solving -48 + 6b = -40 + 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. -48 + 6b + -7b = -40 + 7b + -7b Combine like terms: 6b + -7b = -1b -48 + -1b = -40 + 7b + -7b Combine like terms: 7b + -7b = 0 -48 + -1b = -40 + 0 -48 + -1b = -40 Add '48' to each side of the equation. -48 + 48 + -1b = -40 + 48 Combine like terms: -48 + 48 = 0 0 + -1b = -40 + 48 -1b = -40 + 48 Combine like terms: -40 + 48 = 8 -1b = 8 Divide each side by '-1'. b = -8 Simplifying b = -8
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