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Simplifying 9(d + -4) + -6 = 8(d + -8) + 46 Reorder the terms: 9(-4 + d) + -6 = 8(d + -8) + 46 (-4 * 9 + d * 9) + -6 = 8(d + -8) + 46 (-36 + 9d) + -6 = 8(d + -8) + 46 Reorder the terms: -36 + -6 + 9d = 8(d + -8) + 46 Combine like terms: -36 + -6 = -42 -42 + 9d = 8(d + -8) + 46 Reorder the terms: -42 + 9d = 8(-8 + d) + 46 -42 + 9d = (-8 * 8 + d * 8) + 46 -42 + 9d = (-64 + 8d) + 46 Reorder the terms: -42 + 9d = -64 + 46 + 8d Combine like terms: -64 + 46 = -18 -42 + 9d = -18 + 8d Solving -42 + 9d = -18 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -42 + 9d + -8d = -18 + 8d + -8d Combine like terms: 9d + -8d = 1d -42 + 1d = -18 + 8d + -8d Combine like terms: 8d + -8d = 0 -42 + 1d = -18 + 0 -42 + 1d = -18 Add '42' to each side of the equation. -42 + 42 + 1d = -18 + 42 Combine like terms: -42 + 42 = 0 0 + 1d = -18 + 42 1d = -18 + 42 Combine like terms: -18 + 42 = 24 1d = 24 Divide each side by '1'. d = 24 Simplifying d = 24
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