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Simplifying 3(4d + 1) + -9 = 12 + -6d Reorder the terms: 3(1 + 4d) + -9 = 12 + -6d (1 * 3 + 4d * 3) + -9 = 12 + -6d (3 + 12d) + -9 = 12 + -6d Reorder the terms: 3 + -9 + 12d = 12 + -6d Combine like terms: 3 + -9 = -6 -6 + 12d = 12 + -6d Solving -6 + 12d = 12 + -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. -6 + 12d + 6d = 12 + -6d + 6d Combine like terms: 12d + 6d = 18d -6 + 18d = 12 + -6d + 6d Combine like terms: -6d + 6d = 0 -6 + 18d = 12 + 0 -6 + 18d = 12 Add '6' to each side of the equation. -6 + 6 + 18d = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 18d = 12 + 6 18d = 12 + 6 Combine like terms: 12 + 6 = 18 18d = 18 Divide each side by '18'. d = 1 Simplifying d = 1
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