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Simplifying 3(5c + -1) + -2 = 1c + 3 Reorder the terms: 3(-1 + 5c) + -2 = 1c + 3 (-1 * 3 + 5c * 3) + -2 = 1c + 3 (-3 + 15c) + -2 = 1c + 3 Reorder the terms: -3 + -2 + 15c = 1c + 3 Combine like terms: -3 + -2 = -5 -5 + 15c = 1c + 3 Reorder the terms: -5 + 15c = 3 + 1c Solving -5 + 15c = 3 + 1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -5 + 15c + -1c = 3 + 1c + -1c Combine like terms: 15c + -1c = 14c -5 + 14c = 3 + 1c + -1c Combine like terms: 1c + -1c = 0 -5 + 14c = 3 + 0 -5 + 14c = 3 Add '5' to each side of the equation. -5 + 5 + 14c = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 14c = 3 + 5 14c = 3 + 5 Combine like terms: 3 + 5 = 8 14c = 8 Divide each side by '14'. c = 0.5714285714 Simplifying c = 0.5714285714
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