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Simplifying 3(1 + c) = 2(c + -4) (1 * 3 + c * 3) = 2(c + -4) (3 + 3c) = 2(c + -4) Reorder the terms: 3 + 3c = 2(-4 + c) 3 + 3c = (-4 * 2 + c * 2) 3 + 3c = (-8 + 2c) Solving 3 + 3c = -8 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 3 + 3c + -2c = -8 + 2c + -2c Combine like terms: 3c + -2c = 1c 3 + 1c = -8 + 2c + -2c Combine like terms: 2c + -2c = 0 3 + 1c = -8 + 0 3 + 1c = -8 Add '-3' to each side of the equation. 3 + -3 + 1c = -8 + -3 Combine like terms: 3 + -3 = 0 0 + 1c = -8 + -3 1c = -8 + -3 Combine like terms: -8 + -3 = -11 1c = -11 Divide each side by '1'. c = -11 Simplifying c = -11
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