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Simplifying 4(c + -1) = -2(c + 3) + -28 Reorder the terms: 4(-1 + c) = -2(c + 3) + -28 (-1 * 4 + c * 4) = -2(c + 3) + -28 (-4 + 4c) = -2(c + 3) + -28 Reorder the terms: -4 + 4c = -2(3 + c) + -28 -4 + 4c = (3 * -2 + c * -2) + -28 -4 + 4c = (-6 + -2c) + -28 Reorder the terms: -4 + 4c = -6 + -28 + -2c Combine like terms: -6 + -28 = -34 -4 + 4c = -34 + -2c Solving -4 + 4c = -34 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. -4 + 4c + 2c = -34 + -2c + 2c Combine like terms: 4c + 2c = 6c -4 + 6c = -34 + -2c + 2c Combine like terms: -2c + 2c = 0 -4 + 6c = -34 + 0 -4 + 6c = -34 Add '4' to each side of the equation. -4 + 4 + 6c = -34 + 4 Combine like terms: -4 + 4 = 0 0 + 6c = -34 + 4 6c = -34 + 4 Combine like terms: -34 + 4 = -30 6c = -30 Divide each side by '6'. c = -5 Simplifying c = -5
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