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Simplifying 2 = 10c + -4(c + -9) Reorder the terms: 2 = 10c + -4(-9 + c) 2 = 10c + (-9 * -4 + c * -4) 2 = 10c + (36 + -4c) Reorder the terms: 2 = 36 + 10c + -4c Combine like terms: 10c + -4c = 6c 2 = 36 + 6c Solving 2 = 36 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 2 + -6c = 36 + 6c + -6c Combine like terms: 6c + -6c = 0 2 + -6c = 36 + 0 2 + -6c = 36 Add '-2' to each side of the equation. 2 + -2 + -6c = 36 + -2 Combine like terms: 2 + -2 = 0 0 + -6c = 36 + -2 -6c = 36 + -2 Combine like terms: 36 + -2 = 34 -6c = 34 Divide each side by '-6'. c = -5.666666667 Simplifying c = -5.666666667
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