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