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Simplifying 7(4d + -5) = -7 Reorder the terms: 7(-5 + 4d) = -7 (-5 * 7 + 4d * 7) = -7 (-35 + 28d) = -7 Solving -35 + 28d = -7 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 28d = -7 + 35 Combine like terms: -35 + 35 = 0 0 + 28d = -7 + 35 28d = -7 + 35 Combine like terms: -7 + 35 = 28 28d = 28 Divide each side by '28'. d = 1 Simplifying d = 1
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