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Simplifying 7(c + -3) = -1(2c + -6) + 18 Reorder the terms: 7(-3 + c) = -1(2c + -6) + 18 (-3 * 7 + c * 7) = -1(2c + -6) + 18 (-21 + 7c) = -1(2c + -6) + 18 Reorder the terms: -21 + 7c = -1(-6 + 2c) + 18 -21 + 7c = (-6 * -1 + 2c * -1) + 18 -21 + 7c = (6 + -2c) + 18 Reorder the terms: -21 + 7c = 6 + 18 + -2c Combine like terms: 6 + 18 = 24 -21 + 7c = 24 + -2c Solving -21 + 7c = 24 + -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. -21 + 7c + 2c = 24 + -2c + 2c Combine like terms: 7c + 2c = 9c -21 + 9c = 24 + -2c + 2c Combine like terms: -2c + 2c = 0 -21 + 9c = 24 + 0 -21 + 9c = 24 Add '21' to each side of the equation. -21 + 21 + 9c = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 9c = 24 + 21 9c = 24 + 21 Combine like terms: 24 + 21 = 45 9c = 45 Divide each side by '9'. c = 5 Simplifying c = 5
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