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Simplifying 3(d + -8) + -5 = 9(d + 20) + 1 Reorder the terms: 3(-8 + d) + -5 = 9(d + 20) + 1 (-8 * 3 + d * 3) + -5 = 9(d + 20) + 1 (-24 + 3d) + -5 = 9(d + 20) + 1 Reorder the terms: -24 + -5 + 3d = 9(d + 20) + 1 Combine like terms: -24 + -5 = -29 -29 + 3d = 9(d + 20) + 1 Reorder the terms: -29 + 3d = 9(20 + d) + 1 -29 + 3d = (20 * 9 + d * 9) + 1 -29 + 3d = (180 + 9d) + 1 Reorder the terms: -29 + 3d = 180 + 1 + 9d Combine like terms: 180 + 1 = 181 -29 + 3d = 181 + 9d Solving -29 + 3d = 181 + 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. -29 + 3d + -9d = 181 + 9d + -9d Combine like terms: 3d + -9d = -6d -29 + -6d = 181 + 9d + -9d Combine like terms: 9d + -9d = 0 -29 + -6d = 181 + 0 -29 + -6d = 181 Add '29' to each side of the equation. -29 + 29 + -6d = 181 + 29 Combine like terms: -29 + 29 = 0 0 + -6d = 181 + 29 -6d = 181 + 29 Combine like terms: 181 + 29 = 210 -6d = 210 Divide each side by '-6'. d = -35 Simplifying d = -35
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