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Simplifying 4(c + 1) = 3(2c + -4) Reorder the terms: 4(1 + c) = 3(2c + -4) (1 * 4 + c * 4) = 3(2c + -4) (4 + 4c) = 3(2c + -4) Reorder the terms: 4 + 4c = 3(-4 + 2c) 4 + 4c = (-4 * 3 + 2c * 3) 4 + 4c = (-12 + 6c) Solving 4 + 4c = -12 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 4 + 4c + -6c = -12 + 6c + -6c Combine like terms: 4c + -6c = -2c 4 + -2c = -12 + 6c + -6c Combine like terms: 6c + -6c = 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 = -16 -2c = -16 Divide each side by '-2'. c = 8 Simplifying c = 8
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