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Simplifying 4(c + -1) = 3(-2c + 2) Reorder the terms: 4(-1 + c) = 3(-2c + 2) (-1 * 4 + c * 4) = 3(-2c + 2) (-4 + 4c) = 3(-2c + 2) Reorder the terms: -4 + 4c = 3(2 + -2c) -4 + 4c = (2 * 3 + -2c * 3) -4 + 4c = (6 + -6c) Solving -4 + 4c = 6 + -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 = 6 + -6c + 6c Combine like terms: 4c + 6c = 10c -4 + 10c = 6 + -6c + 6c Combine like terms: -6c + 6c = 0 -4 + 10c = 6 + 0 -4 + 10c = 6 Add '4' to each side of the equation. -4 + 4 + 10c = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 10c = 6 + 4 10c = 6 + 4 Combine like terms: 6 + 4 = 10 10c = 10 Divide each side by '10'. c = 1 Simplifying c = 1
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