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Simplifying 4(9c + -1) + -10 = 34c + 4 Reorder the terms: 4(-1 + 9c) + -10 = 34c + 4 (-1 * 4 + 9c * 4) + -10 = 34c + 4 (-4 + 36c) + -10 = 34c + 4 Reorder the terms: -4 + -10 + 36c = 34c + 4 Combine like terms: -4 + -10 = -14 -14 + 36c = 34c + 4 Reorder the terms: -14 + 36c = 4 + 34c Solving -14 + 36c = 4 + 34c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-34c' to each side of the equation. -14 + 36c + -34c = 4 + 34c + -34c Combine like terms: 36c + -34c = 2c -14 + 2c = 4 + 34c + -34c Combine like terms: 34c + -34c = 0 -14 + 2c = 4 + 0 -14 + 2c = 4 Add '14' to each side of the equation. -14 + 14 + 2c = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 2c = 4 + 14 2c = 4 + 14 Combine like terms: 4 + 14 = 18 2c = 18 Divide each side by '2'. c = 9 Simplifying c = 9
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