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Simplifying 18382(d + 82937) * 8292947 = 8193829(d + -919182) + -91917 Reorder the terms: 18382(82937 + d) * 8292947 = 8193829(d + -919182) + -91917 Reorder the terms for easier multiplication: 18382 * 8292947(82937 + d) = 8193829(d + -919182) + -91917 Multiply 18382 * 8292947 152440951800(82937 + d) = 8193829(d + -919182) + -91917 (82937 * 152440951800 + d * 152440951800) = 8193829(d + -919182) + -91917 (12642995220000000 + 152440951800d) = 8193829(d + -919182) + -91917 Reorder the terms: 12642995220000000 + 152440951800d = 8193829(-919182 + d) + -91917 12642995220000000 + 152440951800d = (-919182 * 8193829 + d * 8193829) + -91917 12642995220000000 + 152440951800d = (-7531620128000 + 8193829d) + -91917 Reorder the terms: 12642995220000000 + 152440951800d = -7531620128000 + -91917 + 8193829d Combine like terms: -7531620128000 + -91917 = -7531620219917 12642995220000000 + 152440951800d = -7531620219917 + 8193829d Solving 12642995220000000 + 152440951800d = -7531620219917 + 8193829d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8193829d' to each side of the equation. 12642995220000000 + 152440951800d + -8193829d = -7531620219917 + 8193829d + -8193829d Combine like terms: 152440951800d + -8193829d = 152432757971d 12642995220000000 + 152432757971d = -7531620219917 + 8193829d + -8193829d Combine like terms: 8193829d + -8193829d = 0 12642995220000000 + 152432757971d = -7531620219917 + 0 12642995220000000 + 152432757971d = -7531620219917 Add '-12642995220000000' to each side of the equation. 12642995220000000 + -12642995220000000 + 152432757971d = -7531620219917 + -12642995220000000 Combine like terms: 12642995220000000 + -12642995220000000 = 0 0 + 152432757971d = -7531620219917 + -12642995220000000 152432757971d = -7531620219917 + -12642995220000000 Combine like terms: -7531620219917 + -12642995220000000 = -12650526840219917 152432757971d = -12650526840219917 Divide each side by '152432757971'. d = -82990.86764 Simplifying d = -82990.86764
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