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Simplifying 4(2d + -3) = 6d + 2 Reorder the terms: 4(-3 + 2d) = 6d + 2 (-3 * 4 + 2d * 4) = 6d + 2 (-12 + 8d) = 6d + 2 Reorder the terms: -12 + 8d = 2 + 6d Solving -12 + 8d = 2 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. -12 + 8d + -6d = 2 + 6d + -6d Combine like terms: 8d + -6d = 2d -12 + 2d = 2 + 6d + -6d Combine like terms: 6d + -6d = 0 -12 + 2d = 2 + 0 -12 + 2d = 2 Add '12' to each side of the equation. -12 + 12 + 2d = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 2d = 2 + 12 2d = 2 + 12 Combine like terms: 2 + 12 = 14 2d = 14 Divide each side by '2'. d = 7 Simplifying d = 7
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