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Simplifying 6(b + -8) = 2(4 + -1b) Reorder the terms: 6(-8 + b) = 2(4 + -1b) (-8 * 6 + b * 6) = 2(4 + -1b) (-48 + 6b) = 2(4 + -1b) -48 + 6b = (4 * 2 + -1b * 2) -48 + 6b = (8 + -2b) Solving -48 + 6b = 8 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -48 + 6b + 2b = 8 + -2b + 2b Combine like terms: 6b + 2b = 8b -48 + 8b = 8 + -2b + 2b Combine like terms: -2b + 2b = 0 -48 + 8b = 8 + 0 -48 + 8b = 8 Add '48' to each side of the equation. -48 + 48 + 8b = 8 + 48 Combine like terms: -48 + 48 = 0 0 + 8b = 8 + 48 8b = 8 + 48 Combine like terms: 8 + 48 = 56 8b = 56 Divide each side by '8'. b = 7 Simplifying b = 7
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