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Simplifying 8 + -1c + 3(c + -2) = -3c + 2 Reorder the terms: 8 + -1c + 3(-2 + c) = -3c + 2 8 + -1c + (-2 * 3 + c * 3) = -3c + 2 8 + -1c + (-6 + 3c) = -3c + 2 Reorder the terms: 8 + -6 + -1c + 3c = -3c + 2 Combine like terms: 8 + -6 = 2 2 + -1c + 3c = -3c + 2 Combine like terms: -1c + 3c = 2c 2 + 2c = -3c + 2 Reorder the terms: 2 + 2c = 2 + -3c Add '-2' to each side of the equation. 2 + -2 + 2c = 2 + -2 + -3c Combine like terms: 2 + -2 = 0 0 + 2c = 2 + -2 + -3c 2c = 2 + -2 + -3c Combine like terms: 2 + -2 = 0 2c = 0 + -3c 2c = -3c Solving 2c = -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 2c + 3c = -3c + 3c Combine like terms: 2c + 3c = 5c 5c = -3c + 3c Combine like terms: -3c + 3c = 0 5c = 0 Divide each side by '5'. c = 0 Simplifying c = 0
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