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Simplifying (y + 3d) + -1(-9 + 7d) = 0 Reorder the terms: (3d + y) + -1(-9 + 7d) = 0 Remove parenthesis around (3d + y) 3d + y + -1(-9 + 7d) = 0 3d + y + (-9 * -1 + 7d * -1) = 0 3d + y + (9 + -7d) = 0 Reorder the terms: 9 + 3d + -7d + y = 0 Combine like terms: 3d + -7d = -4d 9 + -4d + y = 0 Solving 9 + -4d + y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -4d + -9 + y = 0 + -9 Reorder the terms: 9 + -9 + -4d + y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4d + y = 0 + -9 -4d + y = 0 + -9 Combine like terms: 0 + -9 = -9 -4d + y = -9 Add '-1y' to each side of the equation. -4d + y + -1y = -9 + -1y Combine like terms: y + -1y = 0 -4d + 0 = -9 + -1y -4d = -9 + -1y Divide each side by '-4'. d = 2.25 + 0.25y Simplifying d = 2.25 + 0.25y
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