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Simplifying 2(3c + -4) = -5(c + -5) Reorder the terms: 2(-4 + 3c) = -5(c + -5) (-4 * 2 + 3c * 2) = -5(c + -5) (-8 + 6c) = -5(c + -5) Reorder the terms: -8 + 6c = -5(-5 + c) -8 + 6c = (-5 * -5 + c * -5) -8 + 6c = (25 + -5c) Solving -8 + 6c = 25 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. -8 + 6c + 5c = 25 + -5c + 5c Combine like terms: 6c + 5c = 11c -8 + 11c = 25 + -5c + 5c Combine like terms: -5c + 5c = 0 -8 + 11c = 25 + 0 -8 + 11c = 25 Add '8' to each side of the equation. -8 + 8 + 11c = 25 + 8 Combine like terms: -8 + 8 = 0 0 + 11c = 25 + 8 11c = 25 + 8 Combine like terms: 25 + 8 = 33 11c = 33 Divide each side by '11'. c = 3 Simplifying c = 3
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