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Simplifying 6(b + -6) = 8(b + 6) Reorder the terms: 6(-6 + b) = 8(b + 6) (-6 * 6 + b * 6) = 8(b + 6) (-36 + 6b) = 8(b + 6) Reorder the terms: -36 + 6b = 8(6 + b) -36 + 6b = (6 * 8 + b * 8) -36 + 6b = (48 + 8b) Solving -36 + 6b = 48 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -36 + 6b + -8b = 48 + 8b + -8b Combine like terms: 6b + -8b = -2b -36 + -2b = 48 + 8b + -8b Combine like terms: 8b + -8b = 0 -36 + -2b = 48 + 0 -36 + -2b = 48 Add '36' to each side of the equation. -36 + 36 + -2b = 48 + 36 Combine like terms: -36 + 36 = 0 0 + -2b = 48 + 36 -2b = 48 + 36 Combine like terms: 48 + 36 = 84 -2b = 84 Divide each side by '-2'. b = -42 Simplifying b = -42
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