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Simplifying 0.03(2c + -36) = -0.6(c + -7) Reorder the terms: 0.03(-36 + 2c) = -0.6(c + -7) (-36 * 0.03 + 2c * 0.03) = -0.6(c + -7) (-1.08 + 0.06c) = -0.6(c + -7) Reorder the terms: -1.08 + 0.06c = -0.6(-7 + c) -1.08 + 0.06c = (-7 * -0.6 + c * -0.6) -1.08 + 0.06c = (4.2 + -0.6c) Solving -1.08 + 0.06c = 4.2 + -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. -1.08 + 0.06c + 0.6c = 4.2 + -0.6c + 0.6c Combine like terms: 0.06c + 0.6c = 0.66c -1.08 + 0.66c = 4.2 + -0.6c + 0.6c Combine like terms: -0.6c + 0.6c = 0.0 -1.08 + 0.66c = 4.2 + 0.0 -1.08 + 0.66c = 4.2 Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.66c = 4.2 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.66c = 4.2 + 1.08 0.66c = 4.2 + 1.08 Combine like terms: 4.2 + 1.08 = 5.28 0.66c = 5.28 Divide each side by '0.66'. c = 8 Simplifying c = 8
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