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Simplifying 3(2d + -8) = 11d + -189 Reorder the terms: 3(-8 + 2d) = 11d + -189 (-8 * 3 + 2d * 3) = 11d + -189 (-24 + 6d) = 11d + -189 Reorder the terms: -24 + 6d = -189 + 11d Solving -24 + 6d = -189 + 11d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-11d' to each side of the equation. -24 + 6d + -11d = -189 + 11d + -11d Combine like terms: 6d + -11d = -5d -24 + -5d = -189 + 11d + -11d Combine like terms: 11d + -11d = 0 -24 + -5d = -189 + 0 -24 + -5d = -189 Add '24' to each side of the equation. -24 + 24 + -5d = -189 + 24 Combine like terms: -24 + 24 = 0 0 + -5d = -189 + 24 -5d = -189 + 24 Combine like terms: -189 + 24 = -165 -5d = -165 Divide each side by '-5'. d = 33 Simplifying d = 33
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