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Simplifying 175 + 5c = 105 + 15c Solving 175 + 5c = 105 + 15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15c' to each side of the equation. 175 + 5c + -15c = 105 + 15c + -15c Combine like terms: 5c + -15c = -10c 175 + -10c = 105 + 15c + -15c Combine like terms: 15c + -15c = 0 175 + -10c = 105 + 0 175 + -10c = 105 Add '-175' to each side of the equation. 175 + -175 + -10c = 105 + -175 Combine like terms: 175 + -175 = 0 0 + -10c = 105 + -175 -10c = 105 + -175 Combine like terms: 105 + -175 = -70 -10c = -70 Divide each side by '-10'. c = 7 Simplifying c = 7
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