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