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Simplifying 8(c + -1) = 7c + -6 Reorder the terms: 8(-1 + c) = 7c + -6 (-1 * 8 + c * 8) = 7c + -6 (-8 + 8c) = 7c + -6 Reorder the terms: -8 + 8c = -6 + 7c Solving -8 + 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. -8 + 8c + -7c = -6 + 7c + -7c Combine like terms: 8c + -7c = 1c -8 + 1c = -6 + 7c + -7c Combine like terms: 7c + -7c = 0 -8 + 1c = -6 + 0 -8 + 1c = -6 Add '8' to each side of the equation. -8 + 8 + 1c = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 1c = -6 + 8 1c = -6 + 8 Combine like terms: -6 + 8 = 2 1c = 2 Divide each side by '1'. c = 2 Simplifying c = 2
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