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Simplifying 3(4d + 1) + -90 = 6(2 + -1d) Reorder the terms: 3(1 + 4d) + -90 = 6(2 + -1d) (1 * 3 + 4d * 3) + -90 = 6(2 + -1d) (3 + 12d) + -90 = 6(2 + -1d) Reorder the terms: 3 + -90 + 12d = 6(2 + -1d) Combine like terms: 3 + -90 = -87 -87 + 12d = 6(2 + -1d) -87 + 12d = (2 * 6 + -1d * 6) -87 + 12d = (12 + -6d) Solving -87 + 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. -87 + 12d + 6d = 12 + -6d + 6d Combine like terms: 12d + 6d = 18d -87 + 18d = 12 + -6d + 6d Combine like terms: -6d + 6d = 0 -87 + 18d = 12 + 0 -87 + 18d = 12 Add '87' to each side of the equation. -87 + 87 + 18d = 12 + 87 Combine like terms: -87 + 87 = 0 0 + 18d = 12 + 87 18d = 12 + 87 Combine like terms: 12 + 87 = 99 18d = 99 Divide each side by '18'. d = 5.5 Simplifying d = 5.5
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