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Simplifying 6(c + -7) = 5c + -8 Reorder the terms: 6(-7 + c) = 5c + -8 (-7 * 6 + c * 6) = 5c + -8 (-42 + 6c) = 5c + -8 Reorder the terms: -42 + 6c = -8 + 5c Solving -42 + 6c = -8 + 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. -42 + 6c + -5c = -8 + 5c + -5c Combine like terms: 6c + -5c = 1c -42 + 1c = -8 + 5c + -5c Combine like terms: 5c + -5c = 0 -42 + 1c = -8 + 0 -42 + 1c = -8 Add '42' to each side of the equation. -42 + 42 + 1c = -8 + 42 Combine like terms: -42 + 42 = 0 0 + 1c = -8 + 42 1c = -8 + 42 Combine like terms: -8 + 42 = 34 1c = 34 Divide each side by '1'. c = 34 Simplifying c = 34
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