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Simplifying 4(d + -8) + -5 = 9(d + 2) + 1 Reorder the terms: 4(-8 + d) + -5 = 9(d + 2) + 1 (-8 * 4 + d * 4) + -5 = 9(d + 2) + 1 (-32 + 4d) + -5 = 9(d + 2) + 1 Reorder the terms: -32 + -5 + 4d = 9(d + 2) + 1 Combine like terms: -32 + -5 = -37 -37 + 4d = 9(d + 2) + 1 Reorder the terms: -37 + 4d = 9(2 + d) + 1 -37 + 4d = (2 * 9 + d * 9) + 1 -37 + 4d = (18 + 9d) + 1 Reorder the terms: -37 + 4d = 18 + 1 + 9d Combine like terms: 18 + 1 = 19 -37 + 4d = 19 + 9d Solving -37 + 4d = 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. -37 + 4d + -9d = 19 + 9d + -9d Combine like terms: 4d + -9d = -5d -37 + -5d = 19 + 9d + -9d Combine like terms: 9d + -9d = 0 -37 + -5d = 19 + 0 -37 + -5d = 19 Add '37' to each side of the equation. -37 + 37 + -5d = 19 + 37 Combine like terms: -37 + 37 = 0 0 + -5d = 19 + 37 -5d = 19 + 37 Combine like terms: 19 + 37 = 56 -5d = 56 Divide each side by '-5'. d = -11.2 Simplifying d = -11.2
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