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Simplifying -7(3d + -5) = -27 + 2d Reorder the terms: -7(-5 + 3d) = -27 + 2d (-5 * -7 + 3d * -7) = -27 + 2d (35 + -21d) = -27 + 2d Solving 35 + -21d = -27 + 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. 35 + -21d + -2d = -27 + 2d + -2d Combine like terms: -21d + -2d = -23d 35 + -23d = -27 + 2d + -2d Combine like terms: 2d + -2d = 0 35 + -23d = -27 + 0 35 + -23d = -27 Add '-35' to each side of the equation. 35 + -35 + -23d = -27 + -35 Combine like terms: 35 + -35 = 0 0 + -23d = -27 + -35 -23d = -27 + -35 Combine like terms: -27 + -35 = -62 -23d = -62 Divide each side by '-23'. d = 2.695652174 Simplifying d = 2.695652174
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