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Simplifying 3(5c + -1) + -6 = 13c + 7 Reorder the terms: 3(-1 + 5c) + -6 = 13c + 7 (-1 * 3 + 5c * 3) + -6 = 13c + 7 (-3 + 15c) + -6 = 13c + 7 Reorder the terms: -3 + -6 + 15c = 13c + 7 Combine like terms: -3 + -6 = -9 -9 + 15c = 13c + 7 Reorder the terms: -9 + 15c = 7 + 13c Solving -9 + 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. -9 + 15c + -13c = 7 + 13c + -13c Combine like terms: 15c + -13c = 2c -9 + 2c = 7 + 13c + -13c Combine like terms: 13c + -13c = 0 -9 + 2c = 7 + 0 -9 + 2c = 7 Add '9' to each side of the equation. -9 + 9 + 2c = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2c = 7 + 9 2c = 7 + 9 Combine like terms: 7 + 9 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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