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Simplifying 5 + 2(c + -5) = 7(c + -2) Reorder the terms: 5 + 2(-5 + c) = 7(c + -2) 5 + (-5 * 2 + c * 2) = 7(c + -2) 5 + (-10 + 2c) = 7(c + -2) Combine like terms: 5 + -10 = -5 -5 + 2c = 7(c + -2) Reorder the terms: -5 + 2c = 7(-2 + c) -5 + 2c = (-2 * 7 + c * 7) -5 + 2c = (-14 + 7c) Solving -5 + 2c = -14 + 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. -5 + 2c + -7c = -14 + 7c + -7c Combine like terms: 2c + -7c = -5c -5 + -5c = -14 + 7c + -7c Combine like terms: 7c + -7c = 0 -5 + -5c = -14 + 0 -5 + -5c = -14 Add '5' to each side of the equation. -5 + 5 + -5c = -14 + 5 Combine like terms: -5 + 5 = 0 0 + -5c = -14 + 5 -5c = -14 + 5 Combine like terms: -14 + 5 = -9 -5c = -9 Divide each side by '-5'. c = 1.8 Simplifying c = 1.8
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