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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 = 2c -4 + 2c = 18 + 6c + -6c Combine like terms: 6c + -6c = 0 -4 + 2c = 18 + 0 -4 + 2c = 18 Add '4' to each side of the equation. -4 + 4 + 2c = 18 + 4 Combine like terms: -4 + 4 = 0 0 + 2c = 18 + 4 2c = 18 + 4 Combine like terms: 18 + 4 = 22 2c = 22 Divide each side by '2'. c = 11 Simplifying c = 11
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