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Simplifying 0.5(2c + -4) = 0.33(6c + -30) Reorder the terms: 0.5(-4 + 2c) = 0.33(6c + -30) (-4 * 0.5 + 2c * 0.5) = 0.33(6c + -30) (-2 + 1c) = 0.33(6c + -30) Reorder the terms: -2 + 1c = 0.33(-30 + 6c) -2 + 1c = (-30 * 0.33 + 6c * 0.33) -2 + 1c = (-9.9 + 1.98c) Solving -2 + 1c = -9.9 + 1.98c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1.98c' to each side of the equation. -2 + 1c + -1.98c = -9.9 + 1.98c + -1.98c Combine like terms: 1c + -1.98c = -0.98c -2 + -0.98c = -9.9 + 1.98c + -1.98c Combine like terms: 1.98c + -1.98c = 0.00 -2 + -0.98c = -9.9 + 0.00 -2 + -0.98c = -9.9 Add '2' to each side of the equation. -2 + 2 + -0.98c = -9.9 + 2 Combine like terms: -2 + 2 = 0 0 + -0.98c = -9.9 + 2 -0.98c = -9.9 + 2 Combine like terms: -9.9 + 2 = -7.9 -0.98c = -7.9 Divide each side by '-0.98'. c = 8.06122449 Simplifying c = 8.06122449
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