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Simplifying 0.02(3c + -81) = -0.6(c + -5) Reorder the terms: 0.02(-81 + 3c) = -0.6(c + -5) (-81 * 0.02 + 3c * 0.02) = -0.6(c + -5) (-1.62 + 0.06c) = -0.6(c + -5) Reorder the terms: -1.62 + 0.06c = -0.6(-5 + c) -1.62 + 0.06c = (-5 * -0.6 + c * -0.6) -1.62 + 0.06c = (3 + -0.6c) Solving -1.62 + 0.06c = 3 + -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. -1.62 + 0.06c + 0.6c = 3 + -0.6c + 0.6c Combine like terms: 0.06c + 0.6c = 0.66c -1.62 + 0.66c = 3 + -0.6c + 0.6c Combine like terms: -0.6c + 0.6c = 0.0 -1.62 + 0.66c = 3 + 0.0 -1.62 + 0.66c = 3 Add '1.62' to each side of the equation. -1.62 + 1.62 + 0.66c = 3 + 1.62 Combine like terms: -1.62 + 1.62 = 0.00 0.00 + 0.66c = 3 + 1.62 0.66c = 3 + 1.62 Combine like terms: 3 + 1.62 = 4.62 0.66c = 4.62 Divide each side by '0.66'. c = 7 Simplifying c = 7
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