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Simplifying 8(-6b + 6) = 1 + -1b Reorder the terms: 8(6 + -6b) = 1 + -1b (6 * 8 + -6b * 8) = 1 + -1b (48 + -48b) = 1 + -1b Solving 48 + -48b = 1 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 48 + -48b + b = 1 + -1b + b Combine like terms: -48b + b = -47b 48 + -47b = 1 + -1b + b Combine like terms: -1b + b = 0 48 + -47b = 1 + 0 48 + -47b = 1 Add '-48' to each side of the equation. 48 + -48 + -47b = 1 + -48 Combine like terms: 48 + -48 = 0 0 + -47b = 1 + -48 -47b = 1 + -48 Combine like terms: 1 + -48 = -47 -47b = -47 Divide each side by '-47'. b = 1 Simplifying b = 1
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