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Simplifying 0.75(c + -8) + -0.25c + -4 + 0.75c = 0 Reorder the terms: 0.75(-8 + c) + -0.25c + -4 + 0.75c = 0 (-8 * 0.75 + c * 0.75) + -0.25c + -4 + 0.75c = 0 (-6 + 0.75c) + -0.25c + -4 + 0.75c = 0 Reorder the terms: -6 + -4 + 0.75c + -0.25c + 0.75c = 0 Combine like terms: -6 + -4 = -10 -10 + 0.75c + -0.25c + 0.75c = 0 Combine like terms: 0.75c + -0.25c = 0.5c -10 + 0.5c + 0.75c = 0 Combine like terms: 0.5c + 0.75c = 1.25c -10 + 1.25c = 0 Solving -10 + 1.25c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1.25c = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1.25c = 0 + 10 1.25c = 0 + 10 Combine like terms: 0 + 10 = 10 1.25c = 10 Divide each side by '1.25'. c = 8 Simplifying c = 8
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