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Simplifying -4(-2c + 1) + 3c = 5c + -28 Reorder the terms: -4(1 + -2c) + 3c = 5c + -28 (1 * -4 + -2c * -4) + 3c = 5c + -28 (-4 + 8c) + 3c = 5c + -28 Combine like terms: 8c + 3c = 11c -4 + 11c = 5c + -28 Reorder the terms: -4 + 11c = -28 + 5c Solving -4 + 11c = -28 + 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. -4 + 11c + -5c = -28 + 5c + -5c Combine like terms: 11c + -5c = 6c -4 + 6c = -28 + 5c + -5c Combine like terms: 5c + -5c = 0 -4 + 6c = -28 + 0 -4 + 6c = -28 Add '4' to each side of the equation. -4 + 4 + 6c = -28 + 4 Combine like terms: -4 + 4 = 0 0 + 6c = -28 + 4 6c = -28 + 4 Combine like terms: -28 + 4 = -24 6c = -24 Divide each side by '6'. c = -4 Simplifying c = -4
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