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Simplifying 0.03(2c + -72) = -0.6(c + -3) Reorder the terms: 0.03(-72 + 2c) = -0.6(c + -3) (-72 * 0.03 + 2c * 0.03) = -0.6(c + -3) (-2.16 + 0.06c) = -0.6(c + -3) Reorder the terms: -2.16 + 0.06c = -0.6(-3 + c) -2.16 + 0.06c = (-3 * -0.6 + c * -0.6) -2.16 + 0.06c = (1.8 + -0.6c) Solving -2.16 + 0.06c = 1.8 + -0.6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.6c' to each side of the equation. -2.16 + 0.06c + 0.6c = 1.8 + -0.6c + 0.6c Combine like terms: 0.06c + 0.6c = 0.66c -2.16 + 0.66c = 1.8 + -0.6c + 0.6c Combine like terms: -0.6c + 0.6c = 0.0 -2.16 + 0.66c = 1.8 + 0.0 -2.16 + 0.66c = 1.8 Add '2.16' to each side of the equation. -2.16 + 2.16 + 0.66c = 1.8 + 2.16 Combine like terms: -2.16 + 2.16 = 0.00 0.00 + 0.66c = 1.8 + 2.16 0.66c = 1.8 + 2.16 Combine like terms: 1.8 + 2.16 = 3.96 0.66c = 3.96 Divide each side by '0.66'. c = 6 Simplifying c = 6
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