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Simplifying 4(2c + -1) + -6 = 5c + 2 Reorder the terms: 4(-1 + 2c) + -6 = 5c + 2 (-1 * 4 + 2c * 4) + -6 = 5c + 2 (-4 + 8c) + -6 = 5c + 2 Reorder the terms: -4 + -6 + 8c = 5c + 2 Combine like terms: -4 + -6 = -10 -10 + 8c = 5c + 2 Reorder the terms: -10 + 8c = 2 + 5c Solving -10 + 8c = 2 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -10 + 8c + -5c = 2 + 5c + -5c Combine like terms: 8c + -5c = 3c -10 + 3c = 2 + 5c + -5c Combine like terms: 5c + -5c = 0 -10 + 3c = 2 + 0 -10 + 3c = 2 Add '10' to each side of the equation. -10 + 10 + 3c = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 3c = 2 + 10 3c = 2 + 10 Combine like terms: 2 + 10 = 12 3c = 12 Divide each side by '3'. c = 4 Simplifying c = 4
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