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Simplifying 4 + -1c + -2(4 + -3c) = 3(c + -4) 4 + -1c + (4 * -2 + -3c * -2) = 3(c + -4) 4 + -1c + (-8 + 6c) = 3(c + -4) Reorder the terms: 4 + -8 + -1c + 6c = 3(c + -4) Combine like terms: 4 + -8 = -4 -4 + -1c + 6c = 3(c + -4) Combine like terms: -1c + 6c = 5c -4 + 5c = 3(c + -4) Reorder the terms: -4 + 5c = 3(-4 + c) -4 + 5c = (-4 * 3 + c * 3) -4 + 5c = (-12 + 3c) Solving -4 + 5c = -12 + 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. -4 + 5c + -3c = -12 + 3c + -3c Combine like terms: 5c + -3c = 2c -4 + 2c = -12 + 3c + -3c Combine like terms: 3c + -3c = 0 -4 + 2c = -12 + 0 -4 + 2c = -12 Add '4' to each side of the equation. -4 + 4 + 2c = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 2c = -12 + 4 2c = -12 + 4 Combine like terms: -12 + 4 = -8 2c = -8 Divide each side by '2'. c = -4 Simplifying c = -4
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