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Simplifying 0.03(3c + -81) = -0.9(c + -5) Reorder the terms: 0.03(-81 + 3c) = -0.9(c + -5) (-81 * 0.03 + 3c * 0.03) = -0.9(c + -5) (-2.43 + 0.09c) = -0.9(c + -5) Reorder the terms: -2.43 + 0.09c = -0.9(-5 + c) -2.43 + 0.09c = (-5 * -0.9 + c * -0.9) -2.43 + 0.09c = (4.5 + -0.9c) Solving -2.43 + 0.09c = 4.5 + -0.9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.9c' to each side of the equation. -2.43 + 0.09c + 0.9c = 4.5 + -0.9c + 0.9c Combine like terms: 0.09c + 0.9c = 0.99c -2.43 + 0.99c = 4.5 + -0.9c + 0.9c Combine like terms: -0.9c + 0.9c = 0.0 -2.43 + 0.99c = 4.5 + 0.0 -2.43 + 0.99c = 4.5 Add '2.43' to each side of the equation. -2.43 + 2.43 + 0.99c = 4.5 + 2.43 Combine like terms: -2.43 + 2.43 = 0.00 0.00 + 0.99c = 4.5 + 2.43 0.99c = 4.5 + 2.43 Combine like terms: 4.5 + 2.43 = 6.93 0.99c = 6.93 Divide each side by '0.99'. c = 7 Simplifying c = 7
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