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Simplifying 0.33(9c + -18 + -3c) = 0.25(12c + -28) Reorder the terms: 0.33(-18 + 9c + -3c) = 0.25(12c + -28) Combine like terms: 9c + -3c = 6c 0.33(-18 + 6c) = 0.25(12c + -28) (-18 * 0.33 + 6c * 0.33) = 0.25(12c + -28) (-5.94 + 1.98c) = 0.25(12c + -28) Reorder the terms: -5.94 + 1.98c = 0.25(-28 + 12c) -5.94 + 1.98c = (-28 * 0.25 + 12c * 0.25) -5.94 + 1.98c = (-7 + 3c) Solving -5.94 + 1.98c = -7 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -5.94 + 1.98c + -3c = -7 + 3c + -3c Combine like terms: 1.98c + -3c = -1.02c -5.94 + -1.02c = -7 + 3c + -3c Combine like terms: 3c + -3c = 0 -5.94 + -1.02c = -7 + 0 -5.94 + -1.02c = -7 Add '5.94' to each side of the equation. -5.94 + 5.94 + -1.02c = -7 + 5.94 Combine like terms: -5.94 + 5.94 = 0.00 0.00 + -1.02c = -7 + 5.94 -1.02c = -7 + 5.94 Combine like terms: -7 + 5.94 = -1.06 -1.02c = -1.06 Divide each side by '-1.02'. c = 1.039215686 Simplifying c = 1.039215686
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