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Simplifying -6(7b + -8) = 6(b + 8) Reorder the terms: -6(-8 + 7b) = 6(b + 8) (-8 * -6 + 7b * -6) = 6(b + 8) (48 + -42b) = 6(b + 8) Reorder the terms: 48 + -42b = 6(8 + b) 48 + -42b = (8 * 6 + b * 6) 48 + -42b = (48 + 6b) Add '-48' to each side of the equation. 48 + -48 + -42b = 48 + -48 + 6b Combine like terms: 48 + -48 = 0 0 + -42b = 48 + -48 + 6b -42b = 48 + -48 + 6b Combine like terms: 48 + -48 = 0 -42b = 0 + 6b -42b = 6b Solving -42b = 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -42b + -6b = 6b + -6b Combine like terms: -42b + -6b = -48b -48b = 6b + -6b Combine like terms: 6b + -6b = 0 -48b = 0 Divide each side by '-48'. b = 0 Simplifying b = 0
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