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Simplifying -9c + -2 = -1(-5c + 2) + 4(3 + -5c) Reorder the terms: -2 + -9c = -1(-5c + 2) + 4(3 + -5c) Reorder the terms: -2 + -9c = -1(2 + -5c) + 4(3 + -5c) -2 + -9c = (2 * -1 + -5c * -1) + 4(3 + -5c) -2 + -9c = (-2 + 5c) + 4(3 + -5c) -2 + -9c = -2 + 5c + (3 * 4 + -5c * 4) -2 + -9c = -2 + 5c + (12 + -20c) Reorder the terms: -2 + -9c = -2 + 12 + 5c + -20c Combine like terms: -2 + 12 = 10 -2 + -9c = 10 + 5c + -20c Combine like terms: 5c + -20c = -15c -2 + -9c = 10 + -15c Solving -2 + -9c = 10 + -15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15c' to each side of the equation. -2 + -9c + 15c = 10 + -15c + 15c Combine like terms: -9c + 15c = 6c -2 + 6c = 10 + -15c + 15c Combine like terms: -15c + 15c = 0 -2 + 6c = 10 + 0 -2 + 6c = 10 Add '2' to each side of the equation. -2 + 2 + 6c = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 6c = 10 + 2 6c = 10 + 2 Combine like terms: 10 + 2 = 12 6c = 12 Divide each side by '6'. c = 2 Simplifying c = 2
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