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Simplifying 6b + -6(-8 + 6b) = -42 6b + (-8 * -6 + 6b * -6) = -42 6b + (48 + -36b) = -42 Reorder the terms: 48 + 6b + -36b = -42 Combine like terms: 6b + -36b = -30b 48 + -30b = -42 Solving 48 + -30b = -42 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -30b = -42 + -48 Combine like terms: 48 + -48 = 0 0 + -30b = -42 + -48 -30b = -42 + -48 Combine like terms: -42 + -48 = -90 -30b = -90 Divide each side by '-30'. b = 3 Simplifying b = 3
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