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Simplifying 3(d + 3) = 5(7d + -43) Reorder the terms: 3(3 + d) = 5(7d + -43) (3 * 3 + d * 3) = 5(7d + -43) (9 + 3d) = 5(7d + -43) Reorder the terms: 9 + 3d = 5(-43 + 7d) 9 + 3d = (-43 * 5 + 7d * 5) 9 + 3d = (-215 + 35d) Solving 9 + 3d = -215 + 35d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-35d' to each side of the equation. 9 + 3d + -35d = -215 + 35d + -35d Combine like terms: 3d + -35d = -32d 9 + -32d = -215 + 35d + -35d Combine like terms: 35d + -35d = 0 9 + -32d = -215 + 0 9 + -32d = -215 Add '-9' to each side of the equation. 9 + -9 + -32d = -215 + -9 Combine like terms: 9 + -9 = 0 0 + -32d = -215 + -9 -32d = -215 + -9 Combine like terms: -215 + -9 = -224 -32d = -224 Divide each side by '-32'. d = 7 Simplifying d = 7
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