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Simplifying 13x(10a + b) + -11y(10a + b) = 0 (10a * 13x + b * 13x) + -11y(10a + b) = 0 (130ax + 13bx) + -11y(10a + b) = 0 130ax + 13bx + (10a * -11y + b * -11y) = 0 130ax + 13bx + (-110ay + -11by) = 0 Reorder the terms: 130ax + -110ay + 13bx + -11by = 0 Solving 130ax + -110ay + 13bx + -11by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13bx' to each side of the equation. 130ax + -110ay + 13bx + -13bx + -11by = 0 + -13bx Combine like terms: 13bx + -13bx = 0 130ax + -110ay + 0 + -11by = 0 + -13bx 130ax + -110ay + -11by = 0 + -13bx Remove the zero: 130ax + -110ay + -11by = -13bx Add '11by' to each side of the equation. 130ax + -110ay + -11by + 11by = -13bx + 11by Combine like terms: -11by + 11by = 0 130ax + -110ay + 0 = -13bx + 11by 130ax + -110ay = -13bx + 11by Reorder the terms: 130ax + -110ay + 13bx + -11by = -13bx + 13bx + 11by + -11by Combine like terms: -13bx + 13bx = 0 130ax + -110ay + 13bx + -11by = 0 + 11by + -11by 130ax + -110ay + 13bx + -11by = 11by + -11by Combine like terms: 11by + -11by = 0 130ax + -110ay + 13bx + -11by = 0 The solution to this equation could not be determined.
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