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Simplifying 5j + -9(5g + 7u) + 2 + -32 = 0 5j + (5g * -9 + 7u * -9) + 2 + -32 = 0 5j + (-45g + -63u) + 2 + -32 = 0 Reorder the terms: 2 + -32 + -45g + 5j + -63u = 0 Combine like terms: 2 + -32 = -30 -30 + -45g + 5j + -63u = 0 Solving -30 + -45g + 5j + -63u = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -45g + 5j + 30 + -63u = 0 + 30 Reorder the terms: -30 + 30 + -45g + 5j + -63u = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -45g + 5j + -63u = 0 + 30 -45g + 5j + -63u = 0 + 30 Combine like terms: 0 + 30 = 30 -45g + 5j + -63u = 30 Add '-5j' to each side of the equation. -45g + 5j + -5j + -63u = 30 + -5j Combine like terms: 5j + -5j = 0 -45g + 0 + -63u = 30 + -5j -45g + -63u = 30 + -5j Add '63u' to each side of the equation. -45g + -63u + 63u = 30 + -5j + 63u Combine like terms: -63u + 63u = 0 -45g + 0 = 30 + -5j + 63u -45g = 30 + -5j + 63u Divide each side by '-45'. g = -0.6666666667 + 0.1111111111j + -1.4u Simplifying g = -0.6666666667 + 0.1111111111j + -1.4u
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