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Simplifying 13(5c + -9) = 7c + -3 Reorder the terms: 13(-9 + 5c) = 7c + -3 (-9 * 13 + 5c * 13) = 7c + -3 (-117 + 65c) = 7c + -3 Reorder the terms: -117 + 65c = -3 + 7c Solving -117 + 65c = -3 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -117 + 65c + -7c = -3 + 7c + -7c Combine like terms: 65c + -7c = 58c -117 + 58c = -3 + 7c + -7c Combine like terms: 7c + -7c = 0 -117 + 58c = -3 + 0 -117 + 58c = -3 Add '117' to each side of the equation. -117 + 117 + 58c = -3 + 117 Combine like terms: -117 + 117 = 0 0 + 58c = -3 + 117 58c = -3 + 117 Combine like terms: -3 + 117 = 114 58c = 114 Divide each side by '58'. c = 1.965517241 Simplifying c = 1.965517241
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