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Simplifying -2(c + 2.5) + -5(1.2c + 4) = 0 Reorder the terms: -2(2.5 + c) + -5(1.2c + 4) = 0 (2.5 * -2 + c * -2) + -5(1.2c + 4) = 0 (-5 + -2c) + -5(1.2c + 4) = 0 Reorder the terms: -5 + -2c + -5(4 + 1.2c) = 0 -5 + -2c + (4 * -5 + 1.2c * -5) = 0 -5 + -2c + (-20 + -6c) = 0 Reorder the terms: -5 + -20 + -2c + -6c = 0 Combine like terms: -5 + -20 = -25 -25 + -2c + -6c = 0 Combine like terms: -2c + -6c = -8c -25 + -8c = 0 Solving -25 + -8c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -8c = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -8c = 0 + 25 -8c = 0 + 25 Combine like terms: 0 + 25 = 25 -8c = 25 Divide each side by '-8'. c = -3.125 Simplifying c = -3.125
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