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Simplifying 7(c + -4) = 6(8 + c) Reorder the terms: 7(-4 + c) = 6(8 + c) (-4 * 7 + c * 7) = 6(8 + c) (-28 + 7c) = 6(8 + c) -28 + 7c = (8 * 6 + c * 6) -28 + 7c = (48 + 6c) Solving -28 + 7c = 48 + 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. -28 + 7c + -6c = 48 + 6c + -6c Combine like terms: 7c + -6c = 1c -28 + 1c = 48 + 6c + -6c Combine like terms: 6c + -6c = 0 -28 + 1c = 48 + 0 -28 + 1c = 48 Add '28' to each side of the equation. -28 + 28 + 1c = 48 + 28 Combine like terms: -28 + 28 = 0 0 + 1c = 48 + 28 1c = 48 + 28 Combine like terms: 48 + 28 = 76 1c = 76 Divide each side by '1'. c = 76 Simplifying c = 76
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