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Simplifying 2(5c + 2) + -2c = 3(2c + 3) * 17 Reorder the terms: 2(2 + 5c) + -2c = 3(2c + 3) * 17 (2 * 2 + 5c * 2) + -2c = 3(2c + 3) * 17 (4 + 10c) + -2c = 3(2c + 3) * 17 Combine like terms: 10c + -2c = 8c 4 + 8c = 3(2c + 3) * 17 Reorder the terms: 4 + 8c = 3(3 + 2c) * 17 Reorder the terms for easier multiplication: 4 + 8c = 3 * 17(3 + 2c) Multiply 3 * 17 4 + 8c = 51(3 + 2c) 4 + 8c = (3 * 51 + 2c * 51) 4 + 8c = (153 + 102c) Solving 4 + 8c = 153 + 102c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-102c' to each side of the equation. 4 + 8c + -102c = 153 + 102c + -102c Combine like terms: 8c + -102c = -94c 4 + -94c = 153 + 102c + -102c Combine like terms: 102c + -102c = 0 4 + -94c = 153 + 0 4 + -94c = 153 Add '-4' to each side of the equation. 4 + -4 + -94c = 153 + -4 Combine like terms: 4 + -4 = 0 0 + -94c = 153 + -4 -94c = 153 + -4 Combine like terms: 153 + -4 = 149 -94c = 149 Divide each side by '-94'. c = -1.585106383 Simplifying c = -1.585106383
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