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Simplifying 4(2c + -1) = -6(c + 3) Reorder the terms: 4(-1 + 2c) = -6(c + 3) (-1 * 4 + 2c * 4) = -6(c + 3) (-4 + 8c) = -6(c + 3) Reorder the terms: -4 + 8c = -6(3 + c) -4 + 8c = (3 * -6 + c * -6) -4 + 8c = (-18 + -6c) Solving -4 + 8c = -18 + -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. -4 + 8c + 6c = -18 + -6c + 6c Combine like terms: 8c + 6c = 14c -4 + 14c = -18 + -6c + 6c Combine like terms: -6c + 6c = 0 -4 + 14c = -18 + 0 -4 + 14c = -18 Add '4' to each side of the equation. -4 + 4 + 14c = -18 + 4 Combine like terms: -4 + 4 = 0 0 + 14c = -18 + 4 14c = -18 + 4 Combine like terms: -18 + 4 = -14 14c = -14 Divide each side by '14'. c = -1 Simplifying c = -1
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