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Simplifying 3(5c + -3) + -2 = 13c + 1 Reorder the terms: 3(-3 + 5c) + -2 = 13c + 1 (-3 * 3 + 5c * 3) + -2 = 13c + 1 (-9 + 15c) + -2 = 13c + 1 Reorder the terms: -9 + -2 + 15c = 13c + 1 Combine like terms: -9 + -2 = -11 -11 + 15c = 13c + 1 Reorder the terms: -11 + 15c = 1 + 13c Solving -11 + 15c = 1 + 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. -11 + 15c + -13c = 1 + 13c + -13c Combine like terms: 15c + -13c = 2c -11 + 2c = 1 + 13c + -13c Combine like terms: 13c + -13c = 0 -11 + 2c = 1 + 0 -11 + 2c = 1 Add '11' to each side of the equation. -11 + 11 + 2c = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 2c = 1 + 11 2c = 1 + 11 Combine like terms: 1 + 11 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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