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Simplifying 2(3c + -1) + -2 = 7c + 9 Reorder the terms: 2(-1 + 3c) + -2 = 7c + 9 (-1 * 2 + 3c * 2) + -2 = 7c + 9 (-2 + 6c) + -2 = 7c + 9 Reorder the terms: -2 + -2 + 6c = 7c + 9 Combine like terms: -2 + -2 = -4 -4 + 6c = 7c + 9 Reorder the terms: -4 + 6c = 9 + 7c Solving -4 + 6c = 9 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -4 + 6c + -7c = 9 + 7c + -7c Combine like terms: 6c + -7c = -1c -4 + -1c = 9 + 7c + -7c Combine like terms: 7c + -7c = 0 -4 + -1c = 9 + 0 -4 + -1c = 9 Add '4' to each side of the equation. -4 + 4 + -1c = 9 + 4 Combine like terms: -4 + 4 = 0 0 + -1c = 9 + 4 -1c = 9 + 4 Combine like terms: 9 + 4 = 13 -1c = 13 Divide each side by '-1'. c = -13 Simplifying c = -13
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