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Simplifying (0.10c + -15) = (0.15c + -10) Reorder the terms: (-15 + 0.10c) = (0.15c + -10) Remove parenthesis around (-15 + 0.10c) -15 + 0.10c = (0.15c + -10) Reorder the terms: -15 + 0.10c = (-10 + 0.15c) Remove parenthesis around (-10 + 0.15c) -15 + 0.10c = -10 + 0.15c Solving -15 + 0.10c = -10 + 0.15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.15c' to each side of the equation. -15 + 0.10c + -0.15c = -10 + 0.15c + -0.15c Combine like terms: 0.10c + -0.15c = -0.05c -15 + -0.05c = -10 + 0.15c + -0.15c Combine like terms: 0.15c + -0.15c = 0.00 -15 + -0.05c = -10 + 0.00 -15 + -0.05c = -10 Add '15' to each side of the equation. -15 + 15 + -0.05c = -10 + 15 Combine like terms: -15 + 15 = 0 0 + -0.05c = -10 + 15 -0.05c = -10 + 15 Combine like terms: -10 + 15 = 5 -0.05c = 5 Divide each side by '-0.05'. c = -100 Simplifying c = -100
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