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Simplifying 2(7c + -1) = 4(6c + 9) + -9c Reorder the terms: 2(-1 + 7c) = 4(6c + 9) + -9c (-1 * 2 + 7c * 2) = 4(6c + 9) + -9c (-2 + 14c) = 4(6c + 9) + -9c Reorder the terms: -2 + 14c = 4(9 + 6c) + -9c -2 + 14c = (9 * 4 + 6c * 4) + -9c -2 + 14c = (36 + 24c) + -9c Combine like terms: 24c + -9c = 15c -2 + 14c = 36 + 15c Solving -2 + 14c = 36 + 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 + 14c + -15c = 36 + 15c + -15c Combine like terms: 14c + -15c = -1c -2 + -1c = 36 + 15c + -15c Combine like terms: 15c + -15c = 0 -2 + -1c = 36 + 0 -2 + -1c = 36 Add '2' to each side of the equation. -2 + 2 + -1c = 36 + 2 Combine like terms: -2 + 2 = 0 0 + -1c = 36 + 2 -1c = 36 + 2 Combine like terms: 36 + 2 = 38 -1c = 38 Divide each side by '-1'. c = -38 Simplifying c = -38
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