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Simplifying 2(-6 + 7b) + 7(1 + -8b) = 79 (-6 * 2 + 7b * 2) + 7(1 + -8b) = 79 (-12 + 14b) + 7(1 + -8b) = 79 -12 + 14b + (1 * 7 + -8b * 7) = 79 -12 + 14b + (7 + -56b) = 79 Reorder the terms: -12 + 7 + 14b + -56b = 79 Combine like terms: -12 + 7 = -5 -5 + 14b + -56b = 79 Combine like terms: 14b + -56b = -42b -5 + -42b = 79 Solving -5 + -42b = 79 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -42b = 79 + 5 Combine like terms: -5 + 5 = 0 0 + -42b = 79 + 5 -42b = 79 + 5 Combine like terms: 79 + 5 = 84 -42b = 84 Divide each side by '-42'. b = -2 Simplifying b = -2
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