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Simplifying 4100 = 4000c + -500 Reorder the terms: 4100 = -500 + 4000c Solving 4100 = -500 + 4000c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4000c' to each side of the equation. 4100 + -4000c = -500 + 4000c + -4000c Combine like terms: 4000c + -4000c = 0 4100 + -4000c = -500 + 0 4100 + -4000c = -500 Add '-4100' to each side of the equation. 4100 + -4100 + -4000c = -500 + -4100 Combine like terms: 4100 + -4100 = 0 0 + -4000c = -500 + -4100 -4000c = -500 + -4100 Combine like terms: -500 + -4100 = -4600 -4000c = -4600 Divide each side by '-4000'. c = 1.15 Simplifying c = 1.15
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