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Simplifying 4(7c + -1) + -4 = 26c + 4 Reorder the terms: 4(-1 + 7c) + -4 = 26c + 4 (-1 * 4 + 7c * 4) + -4 = 26c + 4 (-4 + 28c) + -4 = 26c + 4 Reorder the terms: -4 + -4 + 28c = 26c + 4 Combine like terms: -4 + -4 = -8 -8 + 28c = 26c + 4 Reorder the terms: -8 + 28c = 4 + 26c Solving -8 + 28c = 4 + 26c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-26c' to each side of the equation. -8 + 28c + -26c = 4 + 26c + -26c Combine like terms: 28c + -26c = 2c -8 + 2c = 4 + 26c + -26c Combine like terms: 26c + -26c = 0 -8 + 2c = 4 + 0 -8 + 2c = 4 Add '8' to each side of the equation. -8 + 8 + 2c = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 2c = 4 + 8 2c = 4 + 8 Combine like terms: 4 + 8 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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