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Simplifying 3 = -6c + -1 + 2(5c + -2) Reorder the terms: 3 = -6c + -1 + 2(-2 + 5c) 3 = -6c + -1 + (-2 * 2 + 5c * 2) 3 = -6c + -1 + (-4 + 10c) Reorder the terms: 3 = -1 + -4 + -6c + 10c Combine like terms: -1 + -4 = -5 3 = -5 + -6c + 10c Combine like terms: -6c + 10c = 4c 3 = -5 + 4c Solving 3 = -5 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 3 + -4c = -5 + 4c + -4c Combine like terms: 4c + -4c = 0 3 + -4c = -5 + 0 3 + -4c = -5 Add '-3' to each side of the equation. 3 + -3 + -4c = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -4c = -5 + -3 -4c = -5 + -3 Combine like terms: -5 + -3 = -8 -4c = -8 Divide each side by '-4'. c = 2 Simplifying c = 2
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