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Simplifying 3(c + -4) + 5 = 2 + c + -9 Reorder the terms: 3(-4 + c) + 5 = 2 + c + -9 (-4 * 3 + c * 3) + 5 = 2 + c + -9 (-12 + 3c) + 5 = 2 + c + -9 Reorder the terms: -12 + 5 + 3c = 2 + c + -9 Combine like terms: -12 + 5 = -7 -7 + 3c = 2 + c + -9 Reorder the terms: -7 + 3c = 2 + -9 + c Combine like terms: 2 + -9 = -7 -7 + 3c = -7 + c Add '7' to each side of the equation. -7 + 7 + 3c = -7 + 7 + c Combine like terms: -7 + 7 = 0 0 + 3c = -7 + 7 + c 3c = -7 + 7 + c Combine like terms: -7 + 7 = 0 3c = 0 + c 3c = c Solving 3c = c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 3c + -1c = c + -1c Combine like terms: 3c + -1c = 2c 2c = c + -1c Combine like terms: c + -1c = 0 2c = 0 Divide each side by '2'. c = 0 Simplifying c = 0
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