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Simplifying 7(yd + -8) = 7y + 42 Reorder the terms: 7(-8 + dy) = 7y + 42 (-8 * 7 + dy * 7) = 7y + 42 (-56 + 7dy) = 7y + 42 Reorder the terms: -56 + 7dy = 42 + 7y Solving -56 + 7dy = 42 + 7y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 7dy = 42 + 56 + 7y Combine like terms: -56 + 56 = 0 0 + 7dy = 42 + 56 + 7y 7dy = 42 + 56 + 7y Combine like terms: 42 + 56 = 98 7dy = 98 + 7y Divide each side by '7y'. d = 14y-1 + 1 Simplifying d = 14y-1 + 1 Reorder the terms: d = 1 + 14y-1
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