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Simplifying -30 + -6d = -3(4d + 8) Reorder the terms: -30 + -6d = -3(8 + 4d) -30 + -6d = (8 * -3 + 4d * -3) -30 + -6d = (-24 + -12d) Solving -30 + -6d = -24 + -12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12d' to each side of the equation. -30 + -6d + 12d = -24 + -12d + 12d Combine like terms: -6d + 12d = 6d -30 + 6d = -24 + -12d + 12d Combine like terms: -12d + 12d = 0 -30 + 6d = -24 + 0 -30 + 6d = -24 Add '30' to each side of the equation. -30 + 30 + 6d = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 6d = -24 + 30 6d = -24 + 30 Combine like terms: -24 + 30 = 6 6d = 6 Divide each side by '6'. d = 1 Simplifying d = 1
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