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Simplifying -1(a + b) + -1(a + b) + -1(c + -1e) = 0 (a * -1 + b * -1) + -1(a + b) + -1(c + -1e) = 0 (-1a + -1b) + -1(a + b) + -1(c + -1e) = 0 -1a + -1b + (a * -1 + b * -1) + -1(c + -1e) = 0 -1a + -1b + (-1a + -1b) + -1(c + -1e) = 0 -1a + -1b + -1a + -1b + (c * -1 + -1e * -1) = 0 -1a + -1b + -1a + -1b + (-1c + 1e) = 0 Reorder the terms: -1a + -1a + -1b + -1b + -1c + 1e = 0 Combine like terms: -1a + -1a = -2a -2a + -1b + -1b + -1c + 1e = 0 Combine like terms: -1b + -1b = -2b -2a + -2b + -1c + 1e = 0 Solving -2a + -2b + -1c + 1e = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. -2a + -2b + -1c + 2b + 1e = 0 + 2b Reorder the terms: -2a + -2b + 2b + -1c + 1e = 0 + 2b Combine like terms: -2b + 2b = 0 -2a + 0 + -1c + 1e = 0 + 2b -2a + -1c + 1e = 0 + 2b Remove the zero: -2a + -1c + 1e = 2b Add 'c' to each side of the equation. -2a + -1c + c + 1e = 2b + c Combine like terms: -1c + c = 0 -2a + 0 + 1e = 2b + c -2a + 1e = 2b + c Add '-1e' to each side of the equation. -2a + 1e + -1e = 2b + c + -1e Combine like terms: 1e + -1e = 0 -2a + 0 = 2b + c + -1e -2a = 2b + c + -1e Divide each side by '-2'. a = -1b + -0.5c + 0.5e Simplifying a = -1b + -0.5c + 0.5e
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