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Simplifying 3(5c + -1) + -2 = 13c + 7 Reorder the terms: 3(-1 + 5c) + -2 = 13c + 7 (-1 * 3 + 5c * 3) + -2 = 13c + 7 (-3 + 15c) + -2 = 13c + 7 Reorder the terms: -3 + -2 + 15c = 13c + 7 Combine like terms: -3 + -2 = -5 -5 + 15c = 13c + 7 Reorder the terms: -5 + 15c = 7 + 13c Solving -5 + 15c = 7 + 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 = 7 + 13c + -13c Combine like terms: 15c + -13c = 2c -5 + 2c = 7 + 13c + -13c Combine like terms: 13c + -13c = 0 -5 + 2c = 7 + 0 -5 + 2c = 7 Add '5' to each side of the equation. -5 + 5 + 2c = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2c = 7 + 5 2c = 7 + 5 Combine like terms: 7 + 5 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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