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Simplifying nh + -1a + n = t + -1r + a + -1n Reorder the terms: -1a + hn + n = t + -1r + a + -1n Reorder the terms: -1a + hn + n = a + -1n + -1r + t Solving -1a + hn + n = a + -1n + -1r + t Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -1a + hn + -1a + n = a + -1n + -1r + -1a + t Reorder the terms: -1a + -1a + hn + n = a + -1n + -1r + -1a + t Combine like terms: -1a + -1a = -2a -2a + hn + n = a + -1n + -1r + -1a + t Reorder the terms: -2a + hn + n = a + -1a + -1n + -1r + t Combine like terms: a + -1a = 0 -2a + hn + n = 0 + -1n + -1r + t -2a + hn + n = -1n + -1r + t Add '-1hn' to each side of the equation. -2a + hn + -1hn + n = -1n + -1r + -1hn + t Combine like terms: hn + -1hn = 0 -2a + 0 + n = -1n + -1r + -1hn + t -2a + n = -1n + -1r + -1hn + t Reorder the terms: -2a + n = -1hn + -1n + -1r + t Add '-1n' to each side of the equation. -2a + n + -1n = -1hn + -1n + -1r + -1n + t Combine like terms: n + -1n = 0 -2a + 0 = -1hn + -1n + -1r + -1n + t -2a = -1hn + -1n + -1r + -1n + t Reorder the terms: -2a = -1hn + -1n + -1n + -1r + t Combine like terms: -1n + -1n = -2n -2a = -1hn + -2n + -1r + t Divide each side by '-2'. a = 0.5hn + n + 0.5r + -0.5t Simplifying a = 0.5hn + n + 0.5r + -0.5t
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