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Simplifying (3c + 2) + 5(3 + 2.5y) = 0 Reorder the terms: (2 + 3c) + 5(3 + 2.5y) = 0 Remove parenthesis around (2 + 3c) 2 + 3c + 5(3 + 2.5y) = 0 2 + 3c + (3 * 5 + 2.5y * 5) = 0 2 + 3c + (15 + 12.5y) = 0 Reorder the terms: 2 + 15 + 3c + 12.5y = 0 Combine like terms: 2 + 15 = 17 17 + 3c + 12.5y = 0 Solving 17 + 3c + 12.5y = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + 3c + -17 + 12.5y = 0 + -17 Reorder the terms: 17 + -17 + 3c + 12.5y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 3c + 12.5y = 0 + -17 3c + 12.5y = 0 + -17 Combine like terms: 0 + -17 = -17 3c + 12.5y = -17 Add '-12.5y' to each side of the equation. 3c + 12.5y + -12.5y = -17 + -12.5y Combine like terms: 12.5y + -12.5y = 0.0 3c + 0.0 = -17 + -12.5y 3c = -17 + -12.5y Divide each side by '3'. c = -5.666666667 + -4.166666667y Simplifying c = -5.666666667 + -4.166666667y
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