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Simplifying 3(d + -10) + 2(d + -29) = 2 Reorder the terms: 3(-10 + d) + 2(d + -29) = 2 (-10 * 3 + d * 3) + 2(d + -29) = 2 (-30 + 3d) + 2(d + -29) = 2 Reorder the terms: -30 + 3d + 2(-29 + d) = 2 -30 + 3d + (-29 * 2 + d * 2) = 2 -30 + 3d + (-58 + 2d) = 2 Reorder the terms: -30 + -58 + 3d + 2d = 2 Combine like terms: -30 + -58 = -88 -88 + 3d + 2d = 2 Combine like terms: 3d + 2d = 5d -88 + 5d = 2 Solving -88 + 5d = 2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '88' to each side of the equation. -88 + 88 + 5d = 2 + 88 Combine like terms: -88 + 88 = 0 0 + 5d = 2 + 88 5d = 2 + 88 Combine like terms: 2 + 88 = 90 5d = 90 Divide each side by '5'. d = 18 Simplifying d = 18
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