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Simplifying 4(8c + -1) + -10 = 30c + 4 Reorder the terms: 4(-1 + 8c) + -10 = 30c + 4 (-1 * 4 + 8c * 4) + -10 = 30c + 4 (-4 + 32c) + -10 = 30c + 4 Reorder the terms: -4 + -10 + 32c = 30c + 4 Combine like terms: -4 + -10 = -14 -14 + 32c = 30c + 4 Reorder the terms: -14 + 32c = 4 + 30c Solving -14 + 32c = 4 + 30c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-30c' to each side of the equation. -14 + 32c + -30c = 4 + 30c + -30c Combine like terms: 32c + -30c = 2c -14 + 2c = 4 + 30c + -30c Combine like terms: 30c + -30c = 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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