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Simplifying 3(4d + -3) = 10d + -35 Reorder the terms: 3(-3 + 4d) = 10d + -35 (-3 * 3 + 4d * 3) = 10d + -35 (-9 + 12d) = 10d + -35 Reorder the terms: -9 + 12d = -35 + 10d Solving -9 + 12d = -35 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. -9 + 12d + -10d = -35 + 10d + -10d Combine like terms: 12d + -10d = 2d -9 + 2d = -35 + 10d + -10d Combine like terms: 10d + -10d = 0 -9 + 2d = -35 + 0 -9 + 2d = -35 Add '9' to each side of the equation. -9 + 9 + 2d = -35 + 9 Combine like terms: -9 + 9 = 0 0 + 2d = -35 + 9 2d = -35 + 9 Combine like terms: -35 + 9 = -26 2d = -26 Divide each side by '2'. d = -13 Simplifying d = -13
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