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Simplifying 10c + 2 + 13c = -8c + 9(4c + -7) Reorder the terms: 2 + 10c + 13c = -8c + 9(4c + -7) Combine like terms: 10c + 13c = 23c 2 + 23c = -8c + 9(4c + -7) Reorder the terms: 2 + 23c = -8c + 9(-7 + 4c) 2 + 23c = -8c + (-7 * 9 + 4c * 9) 2 + 23c = -8c + (-63 + 36c) Reorder the terms: 2 + 23c = -63 + -8c + 36c Combine like terms: -8c + 36c = 28c 2 + 23c = -63 + 28c Solving 2 + 23c = -63 + 28c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-28c' to each side of the equation. 2 + 23c + -28c = -63 + 28c + -28c Combine like terms: 23c + -28c = -5c 2 + -5c = -63 + 28c + -28c Combine like terms: 28c + -28c = 0 2 + -5c = -63 + 0 2 + -5c = -63 Add '-2' to each side of the equation. 2 + -2 + -5c = -63 + -2 Combine like terms: 2 + -2 = 0 0 + -5c = -63 + -2 -5c = -63 + -2 Combine like terms: -63 + -2 = -65 -5c = -65 Divide each side by '-5'. c = 13 Simplifying c = 13
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