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Simplifying 7(c + -4) + -1(6 + -4c) = 18 + c Reorder the terms: 7(-4 + c) + -1(6 + -4c) = 18 + c (-4 * 7 + c * 7) + -1(6 + -4c) = 18 + c (-28 + 7c) + -1(6 + -4c) = 18 + c -28 + 7c + (6 * -1 + -4c * -1) = 18 + c -28 + 7c + (-6 + 4c) = 18 + c Reorder the terms: -28 + -6 + 7c + 4c = 18 + c Combine like terms: -28 + -6 = -34 -34 + 7c + 4c = 18 + c Combine like terms: 7c + 4c = 11c -34 + 11c = 18 + c Solving -34 + 11c = 18 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -34 + 11c + -1c = 18 + c + -1c Combine like terms: 11c + -1c = 10c -34 + 10c = 18 + c + -1c Combine like terms: c + -1c = 0 -34 + 10c = 18 + 0 -34 + 10c = 18 Add '34' to each side of the equation. -34 + 34 + 10c = 18 + 34 Combine like terms: -34 + 34 = 0 0 + 10c = 18 + 34 10c = 18 + 34 Combine like terms: 18 + 34 = 52 10c = 52 Divide each side by '10'. c = 5.2 Simplifying c = 5.2
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