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Simplifying 4(c + -7) = 7 + 3c Reorder the terms: 4(-7 + c) = 7 + 3c (-7 * 4 + c * 4) = 7 + 3c (-28 + 4c) = 7 + 3c Solving -28 + 4c = 7 + 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 + 4c + -3c = 7 + 3c + -3c Combine like terms: 4c + -3c = 1c -28 + 1c = 7 + 3c + -3c Combine like terms: 3c + -3c = 0 -28 + 1c = 7 + 0 -28 + 1c = 7 Add '28' to each side of the equation. -28 + 28 + 1c = 7 + 28 Combine like terms: -28 + 28 = 0 0 + 1c = 7 + 28 1c = 7 + 28 Combine like terms: 7 + 28 = 35 1c = 35 Divide each side by '1'. c = 35 Simplifying c = 35
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