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Simplifying 0.03(2c + -68) = -0.06(c + -1) Reorder the terms: 0.03(-68 + 2c) = -0.06(c + -1) (-68 * 0.03 + 2c * 0.03) = -0.06(c + -1) (-2.04 + 0.06c) = -0.06(c + -1) Reorder the terms: -2.04 + 0.06c = -0.06(-1 + c) -2.04 + 0.06c = (-1 * -0.06 + c * -0.06) -2.04 + 0.06c = (0.06 + -0.06c) Solving -2.04 + 0.06c = 0.06 + -0.06c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.06c' to each side of the equation. -2.04 + 0.06c + 0.06c = 0.06 + -0.06c + 0.06c Combine like terms: 0.06c + 0.06c = 0.12c -2.04 + 0.12c = 0.06 + -0.06c + 0.06c Combine like terms: -0.06c + 0.06c = 0.00 -2.04 + 0.12c = 0.06 + 0.00 -2.04 + 0.12c = 0.06 Add '2.04' to each side of the equation. -2.04 + 2.04 + 0.12c = 0.06 + 2.04 Combine like terms: -2.04 + 2.04 = 0.00 0.00 + 0.12c = 0.06 + 2.04 0.12c = 0.06 + 2.04 Combine like terms: 0.06 + 2.04 = 2.1 0.12c = 2.1 Divide each side by '0.12'. c = 17.5 Simplifying c = 17.5
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