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Simplifying 5(c + -6) = 4c + 1 Reorder the terms: 5(-6 + c) = 4c + 1 (-6 * 5 + c * 5) = 4c + 1 (-30 + 5c) = 4c + 1 Reorder the terms: -30 + 5c = 1 + 4c Solving -30 + 5c = 1 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -30 + 5c + -4c = 1 + 4c + -4c Combine like terms: 5c + -4c = 1c -30 + 1c = 1 + 4c + -4c Combine like terms: 4c + -4c = 0 -30 + 1c = 1 + 0 -30 + 1c = 1 Add '30' to each side of the equation. -30 + 30 + 1c = 1 + 30 Combine like terms: -30 + 30 = 0 0 + 1c = 1 + 30 1c = 1 + 30 Combine like terms: 1 + 30 = 31 1c = 31 Divide each side by '1'. c = 31 Simplifying c = 31
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