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Simplifying 3(d + -8) + -6 = 9(d + 2) Reorder the terms: 3(-8 + d) + -6 = 9(d + 2) (-8 * 3 + d * 3) + -6 = 9(d + 2) (-24 + 3d) + -6 = 9(d + 2) Reorder the terms: -24 + -6 + 3d = 9(d + 2) Combine like terms: -24 + -6 = -30 -30 + 3d = 9(d + 2) Reorder the terms: -30 + 3d = 9(2 + d) -30 + 3d = (2 * 9 + d * 9) -30 + 3d = (18 + 9d) Solving -30 + 3d = 18 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. -30 + 3d + -9d = 18 + 9d + -9d Combine like terms: 3d + -9d = -6d -30 + -6d = 18 + 9d + -9d Combine like terms: 9d + -9d = 0 -30 + -6d = 18 + 0 -30 + -6d = 18 Add '30' to each side of the equation. -30 + 30 + -6d = 18 + 30 Combine like terms: -30 + 30 = 0 0 + -6d = 18 + 30 -6d = 18 + 30 Combine like terms: 18 + 30 = 48 -6d = 48 Divide each side by '-6'. d = -8 Simplifying d = -8
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