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Simplifying 2 + -6c = 9 + -1(5c + 4) Reorder the terms: 2 + -6c = 9 + -1(4 + 5c) 2 + -6c = 9 + (4 * -1 + 5c * -1) 2 + -6c = 9 + (-4 + -5c) Combine like terms: 9 + -4 = 5 2 + -6c = 5 + -5c Solving 2 + -6c = 5 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. 2 + -6c + 5c = 5 + -5c + 5c Combine like terms: -6c + 5c = -1c 2 + -1c = 5 + -5c + 5c Combine like terms: -5c + 5c = 0 2 + -1c = 5 + 0 2 + -1c = 5 Add '-2' to each side of the equation. 2 + -2 + -1c = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -1c = 5 + -2 -1c = 5 + -2 Combine like terms: 5 + -2 = 3 -1c = 3 Divide each side by '-1'. c = -3 Simplifying c = -3
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