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Simplifying -8d + -9 = 3(d + 3) + -5d Reorder the terms: -9 + -8d = 3(d + 3) + -5d Reorder the terms: -9 + -8d = 3(3 + d) + -5d -9 + -8d = (3 * 3 + d * 3) + -5d -9 + -8d = (9 + 3d) + -5d Combine like terms: 3d + -5d = -2d -9 + -8d = 9 + -2d Solving -9 + -8d = 9 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. -9 + -8d + 2d = 9 + -2d + 2d Combine like terms: -8d + 2d = -6d -9 + -6d = 9 + -2d + 2d Combine like terms: -2d + 2d = 0 -9 + -6d = 9 + 0 -9 + -6d = 9 Add '9' to each side of the equation. -9 + 9 + -6d = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -6d = 9 + 9 -6d = 9 + 9 Combine like terms: 9 + 9 = 18 -6d = 18 Divide each side by '-6'. d = -3 Simplifying d = -3
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