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Simplifying 3(c + -5) = 5c + 1 Reorder the terms: 3(-5 + c) = 5c + 1 (-5 * 3 + c * 3) = 5c + 1 (-15 + 3c) = 5c + 1 Reorder the terms: -15 + 3c = 1 + 5c Solving -15 + 3c = 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. -15 + 3c + -5c = 1 + 5c + -5c Combine like terms: 3c + -5c = -2c -15 + -2c = 1 + 5c + -5c Combine like terms: 5c + -5c = 0 -15 + -2c = 1 + 0 -15 + -2c = 1 Add '15' to each side of the equation. -15 + 15 + -2c = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -2c = 1 + 15 -2c = 1 + 15 Combine like terms: 1 + 15 = 16 -2c = 16 Divide each side by '-2'. c = -8 Simplifying c = -8
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