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Simplifying 1.5(6c + 10d + 3) = 0 Reorder the terms: 1.5(3 + 6c + 10d) = 0 (3 * 1.5 + 6c * 1.5 + 10d * 1.5) = 0 (4.5 + 9c + 15d) = 0 Solving 4.5 + 9c + 15d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + 9c + -4.5 + 15d = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + 9c + 15d = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 9c + 15d = 0 + -4.5 9c + 15d = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 9c + 15d = -4.5 Add '-15d' to each side of the equation. 9c + 15d + -15d = -4.5 + -15d Combine like terms: 15d + -15d = 0 9c + 0 = -4.5 + -15d 9c = -4.5 + -15d Divide each side by '9'. c = -0.5 + -1.666666667d Simplifying c = -0.5 + -1.666666667d
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