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Simplifying 8(c + -7) = 6 + 7c Reorder the terms: 8(-7 + c) = 6 + 7c (-7 * 8 + c * 8) = 6 + 7c (-56 + 8c) = 6 + 7c Solving -56 + 8c = 6 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -56 + 8c + -7c = 6 + 7c + -7c Combine like terms: 8c + -7c = 1c -56 + 1c = 6 + 7c + -7c Combine like terms: 7c + -7c = 0 -56 + 1c = 6 + 0 -56 + 1c = 6 Add '56' to each side of the equation. -56 + 56 + 1c = 6 + 56 Combine like terms: -56 + 56 = 0 0 + 1c = 6 + 56 1c = 6 + 56 Combine like terms: 6 + 56 = 62 1c = 62 Divide each side by '1'. c = 62 Simplifying c = 62
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