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Simplifying 2(c + -4) + 5 = 3c + -3 Reorder the terms: 2(-4 + c) + 5 = 3c + -3 (-4 * 2 + c * 2) + 5 = 3c + -3 (-8 + 2c) + 5 = 3c + -3 Reorder the terms: -8 + 5 + 2c = 3c + -3 Combine like terms: -8 + 5 = -3 -3 + 2c = 3c + -3 Reorder the terms: -3 + 2c = -3 + 3c Add '3' to each side of the equation. -3 + 3 + 2c = -3 + 3 + 3c Combine like terms: -3 + 3 = 0 0 + 2c = -3 + 3 + 3c 2c = -3 + 3 + 3c Combine like terms: -3 + 3 = 0 2c = 0 + 3c 2c = 3c Solving 2c = 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 2c + -3c = 3c + -3c Combine like terms: 2c + -3c = -1c -1c = 3c + -3c Combine like terms: 3c + -3c = 0 -1c = 0 Divide each side by '-1'. c = 0 Simplifying c = 0
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