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Simplifying 0.02(3c + -45) = -0.6(c + -4) Reorder the terms: 0.02(-45 + 3c) = -0.6(c + -4) (-45 * 0.02 + 3c * 0.02) = -0.6(c + -4) (-0.9 + 0.06c) = -0.6(c + -4) Reorder the terms: -0.9 + 0.06c = -0.6(-4 + c) -0.9 + 0.06c = (-4 * -0.6 + c * -0.6) -0.9 + 0.06c = (2.4 + -0.6c) Solving -0.9 + 0.06c = 2.4 + -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. -0.9 + 0.06c + 0.6c = 2.4 + -0.6c + 0.6c Combine like terms: 0.06c + 0.6c = 0.66c -0.9 + 0.66c = 2.4 + -0.6c + 0.6c Combine like terms: -0.6c + 0.6c = 0.0 -0.9 + 0.66c = 2.4 + 0.0 -0.9 + 0.66c = 2.4 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.66c = 2.4 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.66c = 2.4 + 0.9 0.66c = 2.4 + 0.9 Combine like terms: 2.4 + 0.9 = 3.3 0.66c = 3.3 Divide each side by '0.66'. c = 5 Simplifying c = 5
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