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Simplifying 8(6c + -1) + -4 = 46c + 8 Reorder the terms: 8(-1 + 6c) + -4 = 46c + 8 (-1 * 8 + 6c * 8) + -4 = 46c + 8 (-8 + 48c) + -4 = 46c + 8 Reorder the terms: -8 + -4 + 48c = 46c + 8 Combine like terms: -8 + -4 = -12 -12 + 48c = 46c + 8 Reorder the terms: -12 + 48c = 8 + 46c Solving -12 + 48c = 8 + 46c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-46c' to each side of the equation. -12 + 48c + -46c = 8 + 46c + -46c Combine like terms: 48c + -46c = 2c -12 + 2c = 8 + 46c + -46c Combine like terms: 46c + -46c = 0 -12 + 2c = 8 + 0 -12 + 2c = 8 Add '12' to each side of the equation. -12 + 12 + 2c = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 2c = 8 + 12 2c = 8 + 12 Combine like terms: 8 + 12 = 20 2c = 20 Divide each side by '2'. c = 10 Simplifying c = 10
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