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Simplifying 8(c + -2) + 7 = 2 + c + -11 Reorder the terms: 8(-2 + c) + 7 = 2 + c + -11 (-2 * 8 + c * 8) + 7 = 2 + c + -11 (-16 + 8c) + 7 = 2 + c + -11 Reorder the terms: -16 + 7 + 8c = 2 + c + -11 Combine like terms: -16 + 7 = -9 -9 + 8c = 2 + c + -11 Reorder the terms: -9 + 8c = 2 + -11 + c Combine like terms: 2 + -11 = -9 -9 + 8c = -9 + c Add '9' to each side of the equation. -9 + 9 + 8c = -9 + 9 + c Combine like terms: -9 + 9 = 0 0 + 8c = -9 + 9 + c 8c = -9 + 9 + c Combine like terms: -9 + 9 = 0 8c = 0 + c 8c = c Solving 8c = c 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. 8c + -1c = c + -1c Combine like terms: 8c + -1c = 7c 7c = c + -1c Combine like terms: c + -1c = 0 7c = 0 Divide each side by '7'. c = 0 Simplifying c = 0
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