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Simplifying -8d + -9 = -1(d + 3) + -5d Reorder the terms: -9 + -8d = -1(d + 3) + -5d Reorder the terms: -9 + -8d = -1(3 + d) + -5d -9 + -8d = (3 * -1 + d * -1) + -5d -9 + -8d = (-3 + -1d) + -5d Combine like terms: -1d + -5d = -6d -9 + -8d = -3 + -6d Solving -9 + -8d = -3 + -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. -9 + -8d + 6d = -3 + -6d + 6d Combine like terms: -8d + 6d = -2d -9 + -2d = -3 + -6d + 6d Combine like terms: -6d + 6d = 0 -9 + -2d = -3 + 0 -9 + -2d = -3 Add '9' to each side of the equation. -9 + 9 + -2d = -3 + 9 Combine like terms: -9 + 9 = 0 0 + -2d = -3 + 9 -2d = -3 + 9 Combine like terms: -3 + 9 = 6 -2d = 6 Divide each side by '-2'. d = -3 Simplifying d = -3
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