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Simplifying 7c + 3(c + -5) = 2(c + 3) + -14 Reorder the terms: 7c + 3(-5 + c) = 2(c + 3) + -14 7c + (-5 * 3 + c * 3) = 2(c + 3) + -14 7c + (-15 + 3c) = 2(c + 3) + -14 Reorder the terms: -15 + 7c + 3c = 2(c + 3) + -14 Combine like terms: 7c + 3c = 10c -15 + 10c = 2(c + 3) + -14 Reorder the terms: -15 + 10c = 2(3 + c) + -14 -15 + 10c = (3 * 2 + c * 2) + -14 -15 + 10c = (6 + 2c) + -14 Reorder the terms: -15 + 10c = 6 + -14 + 2c Combine like terms: 6 + -14 = -8 -15 + 10c = -8 + 2c Solving -15 + 10c = -8 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -15 + 10c + -2c = -8 + 2c + -2c Combine like terms: 10c + -2c = 8c -15 + 8c = -8 + 2c + -2c Combine like terms: 2c + -2c = 0 -15 + 8c = -8 + 0 -15 + 8c = -8 Add '15' to each side of the equation. -15 + 15 + 8c = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 8c = -8 + 15 8c = -8 + 15 Combine like terms: -8 + 15 = 7 8c = 7 Divide each side by '8'. c = 0.875 Simplifying c = 0.875
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