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Simplifying 5(-5c + -3) + 5(2 + -3c) = 0 Reorder the terms: 5(-3 + -5c) + 5(2 + -3c) = 0 (-3 * 5 + -5c * 5) + 5(2 + -3c) = 0 (-15 + -25c) + 5(2 + -3c) = 0 -15 + -25c + (2 * 5 + -3c * 5) = 0 -15 + -25c + (10 + -15c) = 0 Reorder the terms: -15 + 10 + -25c + -15c = 0 Combine like terms: -15 + 10 = -5 -5 + -25c + -15c = 0 Combine like terms: -25c + -15c = -40c -5 + -40c = 0 Solving -5 + -40c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -40c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -40c = 0 + 5 -40c = 0 + 5 Combine like terms: 0 + 5 = 5 -40c = 5 Divide each side by '-40'. c = -0.125 Simplifying c = -0.125
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