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Simplifying g + -2.8(50u + 36) = -19.6(5u + 9) Reorder the terms: g + -2.8(36 + 50u) = -19.6(5u + 9) g + (36 * -2.8 + 50u * -2.8) = -19.6(5u + 9) g + (-100.8 + -140u) = -19.6(5u + 9) Reorder the terms: -100.8 + g + -140u = -19.6(5u + 9) Reorder the terms: -100.8 + g + -140u = -19.6(9 + 5u) -100.8 + g + -140u = (9 * -19.6 + 5u * -19.6) -100.8 + g + -140u = (-176.4 + -98u) Solving -100.8 + g + -140u = -176.4 + -98u Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '100.8' to each side of the equation. -100.8 + g + 100.8 + -140u = -176.4 + 100.8 + -98u Reorder the terms: -100.8 + 100.8 + g + -140u = -176.4 + 100.8 + -98u Combine like terms: -100.8 + 100.8 = 0.0 0.0 + g + -140u = -176.4 + 100.8 + -98u g + -140u = -176.4 + 100.8 + -98u Combine like terms: -176.4 + 100.8 = -75.6 g + -140u = -75.6 + -98u Add '140u' to each side of the equation. g + -140u + 140u = -75.6 + -98u + 140u Combine like terms: -140u + 140u = 0 g + 0 = -75.6 + -98u + 140u g = -75.6 + -98u + 140u Combine like terms: -98u + 140u = 42u g = -75.6 + 42u Simplifying g = -75.6 + 42u
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