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Simplifying (-5a + 6b + -3) + (10a + -6b + 15) = 0 Reorder the terms: (-3 + -5a + 6b) + (10a + -6b + 15) = 0 Remove parenthesis around (-3 + -5a + 6b) -3 + -5a + 6b + (10a + -6b + 15) = 0 Reorder the terms: -3 + -5a + 6b + (15 + 10a + -6b) = 0 Remove parenthesis around (15 + 10a + -6b) -3 + -5a + 6b + 15 + 10a + -6b = 0 Reorder the terms: -3 + 15 + -5a + 10a + 6b + -6b = 0 Combine like terms: -3 + 15 = 12 12 + -5a + 10a + 6b + -6b = 0 Combine like terms: -5a + 10a = 5a 12 + 5a + 6b + -6b = 0 Combine like terms: 6b + -6b = 0 12 + 5a + 0 = 0 12 + 5a = 0 Solving 12 + 5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5a = 0 + -12 5a = 0 + -12 Combine like terms: 0 + -12 = -12 5a = -12 Divide each side by '5'. a = -2.4 Simplifying a = -2.4
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