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Simplifying 8c + -2 = 2(c + -5) + -1c Reorder the terms: -2 + 8c = 2(c + -5) + -1c Reorder the terms: -2 + 8c = 2(-5 + c) + -1c -2 + 8c = (-5 * 2 + c * 2) + -1c -2 + 8c = (-10 + 2c) + -1c Combine like terms: 2c + -1c = 1c -2 + 8c = -10 + 1c Solving -2 + 8c = -10 + 1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -2 + 8c + -1c = -10 + 1c + -1c Combine like terms: 8c + -1c = 7c -2 + 7c = -10 + 1c + -1c Combine like terms: 1c + -1c = 0 -2 + 7c = -10 + 0 -2 + 7c = -10 Add '2' to each side of the equation. -2 + 2 + 7c = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 7c = -10 + 2 7c = -10 + 2 Combine like terms: -10 + 2 = -8 7c = -8 Divide each side by '7'. c = -1.142857143 Simplifying c = -1.142857143
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