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Simplifying 3(c + -3) = 10c + -1(5c + -11) Reorder the terms: 3(-3 + c) = 10c + -1(5c + -11) (-3 * 3 + c * 3) = 10c + -1(5c + -11) (-9 + 3c) = 10c + -1(5c + -11) Reorder the terms: -9 + 3c = 10c + -1(-11 + 5c) -9 + 3c = 10c + (-11 * -1 + 5c * -1) -9 + 3c = 10c + (11 + -5c) Reorder the terms: -9 + 3c = 11 + 10c + -5c Combine like terms: 10c + -5c = 5c -9 + 3c = 11 + 5c Solving -9 + 3c = 11 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -9 + 3c + -5c = 11 + 5c + -5c Combine like terms: 3c + -5c = -2c -9 + -2c = 11 + 5c + -5c Combine like terms: 5c + -5c = 0 -9 + -2c = 11 + 0 -9 + -2c = 11 Add '9' to each side of the equation. -9 + 9 + -2c = 11 + 9 Combine like terms: -9 + 9 = 0 0 + -2c = 11 + 9 -2c = 11 + 9 Combine like terms: 11 + 9 = 20 -2c = 20 Divide each side by '-2'. c = -10 Simplifying c = -10
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