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Simplifying 9(8d * 5) + 13 = 12d + -2 Reorder the terms for easier multiplication: 9(8 * 5d) + 13 = 12d + -2 Multiply 8 * 5 9(40d) + 13 = 12d + -2 Remove parenthesis around (40d) 9 * 40d + 13 = 12d + -2 Multiply 9 * 40 360d + 13 = 12d + -2 Reorder the terms: 13 + 360d = 12d + -2 Reorder the terms: 13 + 360d = -2 + 12d Solving 13 + 360d = -2 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. 13 + 360d + -12d = -2 + 12d + -12d Combine like terms: 360d + -12d = 348d 13 + 348d = -2 + 12d + -12d Combine like terms: 12d + -12d = 0 13 + 348d = -2 + 0 13 + 348d = -2 Add '-13' to each side of the equation. 13 + -13 + 348d = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 348d = -2 + -13 348d = -2 + -13 Combine like terms: -2 + -13 = -15 348d = -15 Divide each side by '348'. d = -0.04310344828 Simplifying d = -0.04310344828
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