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Simplifying 15(7c + -1) + -14 = 103c + 15 Reorder the terms: 15(-1 + 7c) + -14 = 103c + 15 (-1 * 15 + 7c * 15) + -14 = 103c + 15 (-15 + 105c) + -14 = 103c + 15 Reorder the terms: -15 + -14 + 105c = 103c + 15 Combine like terms: -15 + -14 = -29 -29 + 105c = 103c + 15 Reorder the terms: -29 + 105c = 15 + 103c Solving -29 + 105c = 15 + 103c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-103c' to each side of the equation. -29 + 105c + -103c = 15 + 103c + -103c Combine like terms: 105c + -103c = 2c -29 + 2c = 15 + 103c + -103c Combine like terms: 103c + -103c = 0 -29 + 2c = 15 + 0 -29 + 2c = 15 Add '29' to each side of the equation. -29 + 29 + 2c = 15 + 29 Combine like terms: -29 + 29 = 0 0 + 2c = 15 + 29 2c = 15 + 29 Combine like terms: 15 + 29 = 44 2c = 44 Divide each side by '2'. c = 22 Simplifying c = 22
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