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Simplifying 6(c + -8) = 1 + 5c Reorder the terms: 6(-8 + c) = 1 + 5c (-8 * 6 + c * 6) = 1 + 5c (-48 + 6c) = 1 + 5c Solving -48 + 6c = 1 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -48 + 6c + -5c = 1 + 5c + -5c Combine like terms: 6c + -5c = 1c -48 + 1c = 1 + 5c + -5c Combine like terms: 5c + -5c = 0 -48 + 1c = 1 + 0 -48 + 1c = 1 Add '48' to each side of the equation. -48 + 48 + 1c = 1 + 48 Combine like terms: -48 + 48 = 0 0 + 1c = 1 + 48 1c = 1 + 48 Combine like terms: 1 + 48 = 49 1c = 49 Divide each side by '1'. c = 49 Simplifying c = 49
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