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Simplifying c + -50 = 0.80(c + -100) Reorder the terms: -50 + c = 0.80(c + -100) Reorder the terms: -50 + c = 0.80(-100 + c) -50 + c = (-100 * 0.80 + c * 0.80) -50 + c = (-80 + 0.80c) Solving -50 + c = -80 + 0.80c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.80c' to each side of the equation. -50 + c + -0.80c = -80 + 0.80c + -0.80c Combine like terms: c + -0.80c = 0.2c -50 + 0.2c = -80 + 0.80c + -0.80c Combine like terms: 0.80c + -0.80c = 0.00 -50 + 0.2c = -80 + 0.00 -50 + 0.2c = -80 Add '50' to each side of the equation. -50 + 50 + 0.2c = -80 + 50 Combine like terms: -50 + 50 = 0 0 + 0.2c = -80 + 50 0.2c = -80 + 50 Combine like terms: -80 + 50 = -30 0.2c = -30 Divide each side by '0.2'. c = -150 Simplifying c = -150
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