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Simplifying 2c + 7 = 4(c + -2) + -5 + 3c Reorder the terms: 7 + 2c = 4(c + -2) + -5 + 3c Reorder the terms: 7 + 2c = 4(-2 + c) + -5 + 3c 7 + 2c = (-2 * 4 + c * 4) + -5 + 3c 7 + 2c = (-8 + 4c) + -5 + 3c Reorder the terms: 7 + 2c = -8 + -5 + 4c + 3c Combine like terms: -8 + -5 = -13 7 + 2c = -13 + 4c + 3c Combine like terms: 4c + 3c = 7c 7 + 2c = -13 + 7c Solving 7 + 2c = -13 + 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. 7 + 2c + -7c = -13 + 7c + -7c Combine like terms: 2c + -7c = -5c 7 + -5c = -13 + 7c + -7c Combine like terms: 7c + -7c = 0 7 + -5c = -13 + 0 7 + -5c = -13 Add '-7' to each side of the equation. 7 + -7 + -5c = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -5c = -13 + -7 -5c = -13 + -7 Combine like terms: -13 + -7 = -20 -5c = -20 Divide each side by '-5'. c = 4 Simplifying c = 4
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