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Simplifying 7(-6b + 1) + 5(1 + -7b) = 12 Reorder the terms: 7(1 + -6b) + 5(1 + -7b) = 12 (1 * 7 + -6b * 7) + 5(1 + -7b) = 12 (7 + -42b) + 5(1 + -7b) = 12 7 + -42b + (1 * 5 + -7b * 5) = 12 7 + -42b + (5 + -35b) = 12 Reorder the terms: 7 + 5 + -42b + -35b = 12 Combine like terms: 7 + 5 = 12 12 + -42b + -35b = 12 Combine like terms: -42b + -35b = -77b 12 + -77b = 12 Add '-12' to each side of the equation. 12 + -12 + -77b = 12 + -12 Combine like terms: 12 + -12 = 0 0 + -77b = 12 + -12 -77b = 12 + -12 Combine like terms: 12 + -12 = 0 -77b = 0 Solving -77b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '-77'. b = 0 Simplifying b = 0
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