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Simplifying 6(5 + c) = 51c + -42 (5 * 6 + c * 6) = 51c + -42 (30 + 6c) = 51c + -42 Reorder the terms: 30 + 6c = -42 + 51c Solving 30 + 6c = -42 + 51c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-51c' to each side of the equation. 30 + 6c + -51c = -42 + 51c + -51c Combine like terms: 6c + -51c = -45c 30 + -45c = -42 + 51c + -51c Combine like terms: 51c + -51c = 0 30 + -45c = -42 + 0 30 + -45c = -42 Add '-30' to each side of the equation. 30 + -30 + -45c = -42 + -30 Combine like terms: 30 + -30 = 0 0 + -45c = -42 + -30 -45c = -42 + -30 Combine like terms: -42 + -30 = -72 -45c = -72 Divide each side by '-45'. c = 1.6 Simplifying c = 1.6
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