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Simplifying -10 = 7 + -1(8 + -1c) -10 = 7 + (8 * -1 + -1c * -1) -10 = 7 + (-8 + 1c) Combine like terms: 7 + -8 = -1 -10 = -1 + 1c Solving -10 = -1 + 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. -10 + -1c = -1 + 1c + -1c Combine like terms: 1c + -1c = 0 -10 + -1c = -1 + 0 -10 + -1c = -1 Add '10' to each side of the equation. -10 + 10 + -1c = -1 + 10 Combine like terms: -10 + 10 = 0 0 + -1c = -1 + 10 -1c = -1 + 10 Combine like terms: -1 + 10 = 9 -1c = 9 Divide each side by '-1'. c = -9 Simplifying c = -9
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