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Simplifying 25 + 8c = 33 + -1[12 + -1(7 + -5) + 10 + -9c] Combine like terms: 7 + -5 = 2 25 + 8c = 33 + -1[12 + -1(2) + 10 + -9c] Multiply -1 * 2 25 + 8c = 33 + -1[12 + -2 + 10 + -9c] Combine like terms: 12 + -2 = 10 25 + 8c = 33 + -1[10 + 10 + -9c] Combine like terms: 10 + 10 = 20 25 + 8c = 33 + -1[20 + -9c] 25 + 8c = 33 + [20 * -1 + -9c * -1] 25 + 8c = 33 + [-20 + 9c] Combine like terms: 33 + -20 = 13 25 + 8c = 13 + 9c Solving 25 + 8c = 13 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 25 + 8c + -9c = 13 + 9c + -9c Combine like terms: 8c + -9c = -1c 25 + -1c = 13 + 9c + -9c Combine like terms: 9c + -9c = 0 25 + -1c = 13 + 0 25 + -1c = 13 Add '-25' to each side of the equation. 25 + -25 + -1c = 13 + -25 Combine like terms: 25 + -25 = 0 0 + -1c = 13 + -25 -1c = 13 + -25 Combine like terms: 13 + -25 = -12 -1c = -12 Divide each side by '-1'. c = 12 Simplifying c = 12
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