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Simplifying 3(4d + -6) = 10d + -34 Reorder the terms: 3(-6 + 4d) = 10d + -34 (-6 * 3 + 4d * 3) = 10d + -34 (-18 + 12d) = 10d + -34 Reorder the terms: -18 + 12d = -34 + 10d Solving -18 + 12d = -34 + 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. -18 + 12d + -10d = -34 + 10d + -10d Combine like terms: 12d + -10d = 2d -18 + 2d = -34 + 10d + -10d Combine like terms: 10d + -10d = 0 -18 + 2d = -34 + 0 -18 + 2d = -34 Add '18' to each side of the equation. -18 + 18 + 2d = -34 + 18 Combine like terms: -18 + 18 = 0 0 + 2d = -34 + 18 2d = -34 + 18 Combine like terms: -34 + 18 = -16 2d = -16 Divide each side by '2'. d = -8 Simplifying d = -8
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