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Simplifying 5(3c + 2d + 6) = 0 Reorder the terms: 5(6 + 3c + 2d) = 0 (6 * 5 + 3c * 5 + 2d * 5) = 0 (30 + 15c + 10d) = 0 Solving 30 + 15c + 10d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 15c + -30 + 10d = 0 + -30 Reorder the terms: 30 + -30 + 15c + 10d = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 15c + 10d = 0 + -30 15c + 10d = 0 + -30 Combine like terms: 0 + -30 = -30 15c + 10d = -30 Add '-10d' to each side of the equation. 15c + 10d + -10d = -30 + -10d Combine like terms: 10d + -10d = 0 15c + 0 = -30 + -10d 15c = -30 + -10d Divide each side by '15'. c = -2 + -0.6666666667d Simplifying c = -2 + -0.6666666667d
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