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Simplifying 2(c + -1) = 4(c + 3) Reorder the terms: 2(-1 + c) = 4(c + 3) (-1 * 2 + c * 2) = 4(c + 3) (-2 + 2c) = 4(c + 3) Reorder the terms: -2 + 2c = 4(3 + c) -2 + 2c = (3 * 4 + c * 4) -2 + 2c = (12 + 4c) Solving -2 + 2c = 12 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -2 + 2c + -4c = 12 + 4c + -4c Combine like terms: 2c + -4c = -2c -2 + -2c = 12 + 4c + -4c Combine like terms: 4c + -4c = 0 -2 + -2c = 12 + 0 -2 + -2c = 12 Add '2' to each side of the equation. -2 + 2 + -2c = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -2c = 12 + 2 -2c = 12 + 2 Combine like terms: 12 + 2 = 14 -2c = 14 Divide each side by '-2'. c = -7 Simplifying c = -7
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