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Simplifying 3(-15 + -11d) = 5(-12 + -6d) (-15 * 3 + -11d * 3) = 5(-12 + -6d) (-45 + -33d) = 5(-12 + -6d) -45 + -33d = (-12 * 5 + -6d * 5) -45 + -33d = (-60 + -30d) Solving -45 + -33d = -60 + -30d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '30d' to each side of the equation. -45 + -33d + 30d = -60 + -30d + 30d Combine like terms: -33d + 30d = -3d -45 + -3d = -60 + -30d + 30d Combine like terms: -30d + 30d = 0 -45 + -3d = -60 + 0 -45 + -3d = -60 Add '45' to each side of the equation. -45 + 45 + -3d = -60 + 45 Combine like terms: -45 + 45 = 0 0 + -3d = -60 + 45 -3d = -60 + 45 Combine like terms: -60 + 45 = -15 -3d = -15 Divide each side by '-3'. d = 5 Simplifying d = 5
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