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Simplifying 4(c + -7) = 3(7 + c) Reorder the terms: 4(-7 + c) = 3(7 + c) (-7 * 4 + c * 4) = 3(7 + c) (-28 + 4c) = 3(7 + c) -28 + 4c = (7 * 3 + c * 3) -28 + 4c = (21 + 3c) Solving -28 + 4c = 21 + 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 = 21 + 3c + -3c Combine like terms: 4c + -3c = 1c -28 + 1c = 21 + 3c + -3c Combine like terms: 3c + -3c = 0 -28 + 1c = 21 + 0 -28 + 1c = 21 Add '28' to each side of the equation. -28 + 28 + 1c = 21 + 28 Combine like terms: -28 + 28 = 0 0 + 1c = 21 + 28 1c = 21 + 28 Combine like terms: 21 + 28 = 49 1c = 49 Divide each side by '1'. c = 49 Simplifying c = 49
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