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Simplifying 10a + 14b + -13a + 15b = 0 Reorder the terms: 10a + -13a + 14b + 15b = 0 Combine like terms: 10a + -13a = -3a -3a + 14b + 15b = 0 Combine like terms: 14b + 15b = 29b -3a + 29b = 0 Solving -3a + 29b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-29b' to each side of the equation. -3a + 29b + -29b = 0 + -29b Combine like terms: 29b + -29b = 0 -3a + 0 = 0 + -29b -3a = 0 + -29b Remove the zero: -3a = -29b Divide each side by '-3'. a = 9.666666667b Simplifying a = 9.666666667b
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