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Simplifying 7(6 + -2b) = 5b + 80 (6 * 7 + -2b * 7) = 5b + 80 (42 + -14b) = 5b + 80 Reorder the terms: 42 + -14b = 80 + 5b Solving 42 + -14b = 80 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 42 + -14b + -5b = 80 + 5b + -5b Combine like terms: -14b + -5b = -19b 42 + -19b = 80 + 5b + -5b Combine like terms: 5b + -5b = 0 42 + -19b = 80 + 0 42 + -19b = 80 Add '-42' to each side of the equation. 42 + -42 + -19b = 80 + -42 Combine like terms: 42 + -42 = 0 0 + -19b = 80 + -42 -19b = 80 + -42 Combine like terms: 80 + -42 = 38 -19b = 38 Divide each side by '-19'. b = -2 Simplifying b = -2
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