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Simplifying 7(c + -4) = (4 + -1c)(3) Reorder the terms: 7(-4 + c) = (4 + -1c)(3) (-4 * 7 + c * 7) = (4 + -1c)(3) (-28 + 7c) = (4 + -1c)(3) Reorder the terms for easier multiplication: -28 + 7c = 3(4 + -1c) -28 + 7c = (4 * 3 + -1c * 3) -28 + 7c = (12 + -3c) Solving -28 + 7c = 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. -28 + 7c + 3c = 12 + -3c + 3c Combine like terms: 7c + 3c = 10c -28 + 10c = 12 + -3c + 3c Combine like terms: -3c + 3c = 0 -28 + 10c = 12 + 0 -28 + 10c = 12 Add '28' to each side of the equation. -28 + 28 + 10c = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 10c = 12 + 28 10c = 12 + 28 Combine like terms: 12 + 28 = 40 10c = 40 Divide each side by '10'. c = 4 Simplifying c = 4
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