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Simplifying 5[-6 + -3D] = 3[8 + 7D] [-6 * 5 + -3D * 5] = 3[8 + 7D] [-30 + -15D] = 3[8 + 7D] -30 + -15D = [8 * 3 + 7D * 3] -30 + -15D = [24 + 21D] Solving -30 + -15D = 24 + 21D Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-21D' to each side of the equation. -30 + -15D + -21D = 24 + 21D + -21D Combine like terms: -15D + -21D = -36D -30 + -36D = 24 + 21D + -21D Combine like terms: 21D + -21D = 0 -30 + -36D = 24 + 0 -30 + -36D = 24 Add '30' to each side of the equation. -30 + 30 + -36D = 24 + 30 Combine like terms: -30 + 30 = 0 0 + -36D = 24 + 30 -36D = 24 + 30 Combine like terms: 24 + 30 = 54 -36D = 54 Divide each side by '-36'. D = -1.5 Simplifying D = -1.5
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