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Simplifying 5(c + -3) = 2(c + -3) Reorder the terms: 5(-3 + c) = 2(c + -3) (-3 * 5 + c * 5) = 2(c + -3) (-15 + 5c) = 2(c + -3) Reorder the terms: -15 + 5c = 2(-3 + c) -15 + 5c = (-3 * 2 + c * 2) -15 + 5c = (-6 + 2c) Solving -15 + 5c = -6 + 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. -15 + 5c + -2c = -6 + 2c + -2c Combine like terms: 5c + -2c = 3c -15 + 3c = -6 + 2c + -2c Combine like terms: 2c + -2c = 0 -15 + 3c = -6 + 0 -15 + 3c = -6 Add '15' to each side of the equation. -15 + 15 + 3c = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 3c = -6 + 15 3c = -6 + 15 Combine like terms: -6 + 15 = 9 3c = 9 Divide each side by '3'. c = 3 Simplifying c = 3
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