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Simplifying 2a + 5b = 10a + 14b Solving 2a + 5b = 10a + 14b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 2a + -10a + 5b = 10a + -10a + 14b Combine like terms: 2a + -10a = -8a -8a + 5b = 10a + -10a + 14b Combine like terms: 10a + -10a = 0 -8a + 5b = 0 + 14b -8a + 5b = 14b Add '-5b' to each side of the equation. -8a + 5b + -5b = 14b + -5b Combine like terms: 5b + -5b = 0 -8a + 0 = 14b + -5b -8a = 14b + -5b Combine like terms: 14b + -5b = 9b -8a = 9b Divide each side by '-8'. a = -1.125b Simplifying a = -1.125b
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