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Simplifying 3(5c + -1) + -2 = 13c + 3 Reorder the terms: 3(-1 + 5c) + -2 = 13c + 3 (-1 * 3 + 5c * 3) + -2 = 13c + 3 (-3 + 15c) + -2 = 13c + 3 Reorder the terms: -3 + -2 + 15c = 13c + 3 Combine like terms: -3 + -2 = -5 -5 + 15c = 13c + 3 Reorder the terms: -5 + 15c = 3 + 13c Solving -5 + 15c = 3 + 13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13c' to each side of the equation. -5 + 15c + -13c = 3 + 13c + -13c Combine like terms: 15c + -13c = 2c -5 + 2c = 3 + 13c + -13c Combine like terms: 13c + -13c = 0 -5 + 2c = 3 + 0 -5 + 2c = 3 Add '5' to each side of the equation. -5 + 5 + 2c = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2c = 3 + 5 2c = 3 + 5 Combine like terms: 3 + 5 = 8 2c = 8 Divide each side by '2'. c = 4 Simplifying c = 4
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