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Simplifying 2(6d + 3) = 9(x + -5) Reorder the terms: 2(3 + 6d) = 9(x + -5) (3 * 2 + 6d * 2) = 9(x + -5) (6 + 12d) = 9(x + -5) Reorder the terms: 6 + 12d = 9(-5 + x) 6 + 12d = (-5 * 9 + x * 9) 6 + 12d = (-45 + 9x) Solving 6 + 12d = -45 + 9x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12d = -45 + -6 + 9x Combine like terms: 6 + -6 = 0 0 + 12d = -45 + -6 + 9x 12d = -45 + -6 + 9x Combine like terms: -45 + -6 = -51 12d = -51 + 9x Divide each side by '12'. d = -4.25 + 0.75x Simplifying d = -4.25 + 0.75x
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