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Simplifying 5(2d + -3) + -3d = 34 Reorder the terms: 5(-3 + 2d) + -3d = 34 (-3 * 5 + 2d * 5) + -3d = 34 (-15 + 10d) + -3d = 34 Combine like terms: 10d + -3d = 7d -15 + 7d = 34 Solving -15 + 7d = 34 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 7d = 34 + 15 Combine like terms: -15 + 15 = 0 0 + 7d = 34 + 15 7d = 34 + 15 Combine like terms: 34 + 15 = 49 7d = 49 Divide each side by '7'. d = 7 Simplifying d = 7
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