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Simplifying 12x + -36a + 24b + -1b + -10a = 0 Reorder the terms: -36a + -10a + 24b + -1b + 12x = 0 Combine like terms: -36a + -10a = -46a -46a + 24b + -1b + 12x = 0 Combine like terms: 24b + -1b = 23b -46a + 23b + 12x = 0 Solving -46a + 23b + 12x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-23b' to each side of the equation. -46a + 23b + -23b + 12x = 0 + -23b Combine like terms: 23b + -23b = 0 -46a + 0 + 12x = 0 + -23b -46a + 12x = 0 + -23b Remove the zero: -46a + 12x = -23b Add '-12x' to each side of the equation. -46a + 12x + -12x = -23b + -12x Combine like terms: 12x + -12x = 0 -46a + 0 = -23b + -12x -46a = -23b + -12x Divide each side by '-46'. a = 0.5b + 0.2608695652x Simplifying a = 0.5b + 0.2608695652x
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