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Simplifying 4(2c + -1) + -4 = 5c + 7 Reorder the terms: 4(-1 + 2c) + -4 = 5c + 7 (-1 * 4 + 2c * 4) + -4 = 5c + 7 (-4 + 8c) + -4 = 5c + 7 Reorder the terms: -4 + -4 + 8c = 5c + 7 Combine like terms: -4 + -4 = -8 -8 + 8c = 5c + 7 Reorder the terms: -8 + 8c = 7 + 5c Solving -8 + 8c = 7 + 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. -8 + 8c + -5c = 7 + 5c + -5c Combine like terms: 8c + -5c = 3c -8 + 3c = 7 + 5c + -5c Combine like terms: 5c + -5c = 0 -8 + 3c = 7 + 0 -8 + 3c = 7 Add '8' to each side of the equation. -8 + 8 + 3c = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 3c = 7 + 8 3c = 7 + 8 Combine like terms: 7 + 8 = 15 3c = 15 Divide each side by '3'. c = 5 Simplifying c = 5
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