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Simplifying c + 3c + 0.5(3c) + 4c + -2 = 169 Remove parenthesis around (3c) c + 3c + 0.5 * 3c + 4c + -2 = 169 Multiply 0.5 * 3 c + 3c + 1.5c + 4c + -2 = 169 Reorder the terms: -2 + c + 3c + 1.5c + 4c = 169 Combine like terms: c + 3c = 4c -2 + 4c + 1.5c + 4c = 169 Combine like terms: 4c + 1.5c = 5.5c -2 + 5.5c + 4c = 169 Combine like terms: 5.5c + 4c = 9.5c -2 + 9.5c = 169 Solving -2 + 9.5c = 169 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9.5c = 169 + 2 Combine like terms: -2 + 2 = 0 0 + 9.5c = 169 + 2 9.5c = 169 + 2 Combine like terms: 169 + 2 = 171 9.5c = 171 Divide each side by '9.5'. c = 18 Simplifying c = 18
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