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Simplifying 3(d + -8) + 5 = 9(d + 2) + 1 Reorder the terms: 3(-8 + d) + 5 = 9(d + 2) + 1 (-8 * 3 + d * 3) + 5 = 9(d + 2) + 1 (-24 + 3d) + 5 = 9(d + 2) + 1 Reorder the terms: -24 + 5 + 3d = 9(d + 2) + 1 Combine like terms: -24 + 5 = -19 -19 + 3d = 9(d + 2) + 1 Reorder the terms: -19 + 3d = 9(2 + d) + 1 -19 + 3d = (2 * 9 + d * 9) + 1 -19 + 3d = (18 + 9d) + 1 Reorder the terms: -19 + 3d = 18 + 1 + 9d Combine like terms: 18 + 1 = 19 -19 + 3d = 19 + 9d Solving -19 + 3d = 19 + 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. -19 + 3d + -9d = 19 + 9d + -9d Combine like terms: 3d + -9d = -6d -19 + -6d = 19 + 9d + -9d Combine like terms: 9d + -9d = 0 -19 + -6d = 19 + 0 -19 + -6d = 19 Add '19' to each side of the equation. -19 + 19 + -6d = 19 + 19 Combine like terms: -19 + 19 = 0 0 + -6d = 19 + 19 -6d = 19 + 19 Combine like terms: 19 + 19 = 38 -6d = 38 Divide each side by '-6'. d = -6.333333333 Simplifying d = -6.333333333
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