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Simplifying 5h + u + -7a = 7h + -1a + 5u Reorder the terms: -7a + 5h + u = 7h + -1a + 5u Reorder the terms: -7a + 5h + u = -1a + 7h + 5u Solving -7a + 5h + u = -1a + 7h + 5u Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -7a + 5h + a + u = -1a + 7h + a + 5u Reorder the terms: -7a + a + 5h + u = -1a + 7h + a + 5u Combine like terms: -7a + a = -6a -6a + 5h + u = -1a + 7h + a + 5u Reorder the terms: -6a + 5h + u = -1a + a + 7h + 5u Combine like terms: -1a + a = 0 -6a + 5h + u = 0 + 7h + 5u -6a + 5h + u = 7h + 5u Add '-5h' to each side of the equation. -6a + 5h + -5h + u = 7h + -5h + 5u Combine like terms: 5h + -5h = 0 -6a + 0 + u = 7h + -5h + 5u -6a + u = 7h + -5h + 5u Combine like terms: 7h + -5h = 2h -6a + u = 2h + 5u Add '-1u' to each side of the equation. -6a + u + -1u = 2h + 5u + -1u Combine like terms: u + -1u = 0 -6a + 0 = 2h + 5u + -1u -6a = 2h + 5u + -1u Combine like terms: 5u + -1u = 4u -6a = 2h + 4u Divide each side by '-6'. a = -0.3333333333h + -0.6666666667u Simplifying a = -0.3333333333h + -0.6666666667u
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