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Simplifying -6a + -1b + 11c + -8 + -7a = 10b + -3x + -9 Reorder the terms: -8 + -6a + -7a + -1b + 11c = 10b + -3x + -9 Combine like terms: -6a + -7a = -13a -8 + -13a + -1b + 11c = 10b + -3x + -9 Reorder the terms: -8 + -13a + -1b + 11c = -9 + 10b + -3x Solving -8 + -13a + -1b + 11c = -9 + 10b + -3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -13a + -1b + 8 + 11c = -9 + 10b + 8 + -3x Reorder the terms: -8 + 8 + -13a + -1b + 11c = -9 + 10b + 8 + -3x Combine like terms: -8 + 8 = 0 0 + -13a + -1b + 11c = -9 + 10b + 8 + -3x -13a + -1b + 11c = -9 + 10b + 8 + -3x Reorder the terms: -13a + -1b + 11c = -9 + 8 + 10b + -3x Combine like terms: -9 + 8 = -1 -13a + -1b + 11c = -1 + 10b + -3x Add 'b' to each side of the equation. -13a + -1b + b + 11c = -1 + 10b + b + -3x Combine like terms: -1b + b = 0 -13a + 0 + 11c = -1 + 10b + b + -3x -13a + 11c = -1 + 10b + b + -3x Combine like terms: 10b + b = 11b -13a + 11c = -1 + 11b + -3x Add '-11c' to each side of the equation. -13a + 11c + -11c = -1 + 11b + -11c + -3x Combine like terms: 11c + -11c = 0 -13a + 0 = -1 + 11b + -11c + -3x -13a = -1 + 11b + -11c + -3x Divide each side by '-13'. a = 0.07692307692 + -0.8461538462b + 0.8461538462c + 0.2307692308x Simplifying a = 0.07692307692 + -0.8461538462b + 0.8461538462c + 0.2307692308x
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