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Simplifying 0.75(12c + -4) = 15c + 15 Reorder the terms: 0.75(-4 + 12c) = 15c + 15 (-4 * 0.75 + 12c * 0.75) = 15c + 15 (-3 + 9c) = 15c + 15 Reorder the terms: -3 + 9c = 15 + 15c Solving -3 + 9c = 15 + 15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15c' to each side of the equation. -3 + 9c + -15c = 15 + 15c + -15c Combine like terms: 9c + -15c = -6c -3 + -6c = 15 + 15c + -15c Combine like terms: 15c + -15c = 0 -3 + -6c = 15 + 0 -3 + -6c = 15 Add '3' to each side of the equation. -3 + 3 + -6c = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -6c = 15 + 3 -6c = 15 + 3 Combine like terms: 15 + 3 = 18 -6c = 18 Divide each side by '-6'. c = -3 Simplifying c = -3
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