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Simplifying 8c + -2 + 5c = -11 + 2(c + -1) Reorder the terms: -2 + 8c + 5c = -11 + 2(c + -1) Combine like terms: 8c + 5c = 13c -2 + 13c = -11 + 2(c + -1) Reorder the terms: -2 + 13c = -11 + 2(-1 + c) -2 + 13c = -11 + (-1 * 2 + c * 2) -2 + 13c = -11 + (-2 + 2c) Combine like terms: -11 + -2 = -13 -2 + 13c = -13 + 2c Solving -2 + 13c = -13 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -2 + 13c + -2c = -13 + 2c + -2c Combine like terms: 13c + -2c = 11c -2 + 11c = -13 + 2c + -2c Combine like terms: 2c + -2c = 0 -2 + 11c = -13 + 0 -2 + 11c = -13 Add '2' to each side of the equation. -2 + 2 + 11c = -13 + 2 Combine like terms: -2 + 2 = 0 0 + 11c = -13 + 2 11c = -13 + 2 Combine like terms: -13 + 2 = -11 11c = -11 Divide each side by '11'. c = -1 Simplifying c = -1
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