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Simplifying (3c + 2) + 4(1.5c + -5) = 0 Reorder the terms: (2 + 3c) + 4(1.5c + -5) = 0 Remove parenthesis around (2 + 3c) 2 + 3c + 4(1.5c + -5) = 0 Reorder the terms: 2 + 3c + 4(-5 + 1.5c) = 0 2 + 3c + (-5 * 4 + 1.5c * 4) = 0 2 + 3c + (-20 + 6c) = 0 Reorder the terms: 2 + -20 + 3c + 6c = 0 Combine like terms: 2 + -20 = -18 -18 + 3c + 6c = 0 Combine like terms: 3c + 6c = 9c -18 + 9c = 0 Solving -18 + 9c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 9c = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 9c = 0 + 18 9c = 0 + 18 Combine like terms: 0 + 18 = 18 9c = 18 Divide each side by '9'. c = 2 Simplifying c = 2
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