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Simplifying 7o + 3p + -1e + -1w + -1a + -1g + -1we = 9 Reorder the terms: -1a + -1e + -1ew + -1g + 7o + 3p + -1w = 9 Solving -1a + -1e + -1ew + -1g + 7o + 3p + -1w = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'e' to each side of the equation. -1a + -1e + -1ew + -1g + 7o + 3p + e + -1w = 9 + e Reorder the terms: -1a + -1e + e + -1ew + -1g + 7o + 3p + -1w = 9 + e Combine like terms: -1e + e = 0 -1a + 0 + -1ew + -1g + 7o + 3p + -1w = 9 + e -1a + -1ew + -1g + 7o + 3p + -1w = 9 + e Add 'ew' to each side of the equation. -1a + -1ew + -1g + 7o + 3p + ew + -1w = 9 + e + ew Reorder the terms: -1a + -1ew + ew + -1g + 7o + 3p + -1w = 9 + e + ew Combine like terms: -1ew + ew = 0 -1a + 0 + -1g + 7o + 3p + -1w = 9 + e + ew -1a + -1g + 7o + 3p + -1w = 9 + e + ew Add 'g' to each side of the equation. -1a + -1g + 7o + 3p + g + -1w = 9 + e + ew + g Reorder the terms: -1a + -1g + g + 7o + 3p + -1w = 9 + e + ew + g Combine like terms: -1g + g = 0 -1a + 0 + 7o + 3p + -1w = 9 + e + ew + g -1a + 7o + 3p + -1w = 9 + e + ew + g Add '-7o' to each side of the equation. -1a + 7o + 3p + -7o + -1w = 9 + e + ew + g + -7o Reorder the terms: -1a + 7o + -7o + 3p + -1w = 9 + e + ew + g + -7o Combine like terms: 7o + -7o = 0 -1a + 0 + 3p + -1w = 9 + e + ew + g + -7o -1a + 3p + -1w = 9 + e + ew + g + -7o Add '-3p' to each side of the equation. -1a + 3p + -3p + -1w = 9 + e + ew + g + -7o + -3p Combine like terms: 3p + -3p = 0 -1a + 0 + -1w = 9 + e + ew + g + -7o + -3p -1a + -1w = 9 + e + ew + g + -7o + -3p Add 'w' to each side of the equation. -1a + -1w + w = 9 + e + ew + g + -7o + -3p + w Combine like terms: -1w + w = 0 -1a + 0 = 9 + e + ew + g + -7o + -3p + w -1a = 9 + e + ew + g + -7o + -3p + w Divide each side by '-1'. a = -9 + -1e + -1ew + -1g + 7o + 3p + -1w Simplifying a = -9 + -1e + -1ew + -1g + 7o + 3p + -1w
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