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Simplifying 3(-2d + 5) + -1(4d + 6) = 0 Reorder the terms: 3(5 + -2d) + -1(4d + 6) = 0 (5 * 3 + -2d * 3) + -1(4d + 6) = 0 (15 + -6d) + -1(4d + 6) = 0 Reorder the terms: 15 + -6d + -1(6 + 4d) = 0 15 + -6d + (6 * -1 + 4d * -1) = 0 15 + -6d + (-6 + -4d) = 0 Reorder the terms: 15 + -6 + -6d + -4d = 0 Combine like terms: 15 + -6 = 9 9 + -6d + -4d = 0 Combine like terms: -6d + -4d = -10d 9 + -10d = 0 Solving 9 + -10d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -10d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10d = 0 + -9 -10d = 0 + -9 Combine like terms: 0 + -9 = -9 -10d = -9 Divide each side by '-10'. d = 0.9 Simplifying d = 0.9
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