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Simplifying 5(a + 2) + (-6(a + 2)) = 0 Reorder the terms: 5(2 + a) + (-6(a + 2)) = 0 (2 * 5 + a * 5) + (-6(a + 2)) = 0 (10 + 5a) + (-6(a + 2)) = 0 Reorder the terms: 10 + 5a + (-6(2 + a)) = 0 10 + 5a + ((2 * -6 + a * -6)) = 0 10 + 5a + ((-12 + -6a)) = 0 10 + 5a + (-12 + -6a) = 0 Remove parenthesis around (-12 + -6a) 10 + 5a + -12 + -6a = 0 Reorder the terms: 10 + -12 + 5a + -6a = 0 Combine like terms: 10 + -12 = -2 -2 + 5a + -6a = 0 Combine like terms: 5a + -6a = -1a -2 + -1a = 0 Solving -2 + -1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1a = 0 + 2 -1a = 0 + 2 Combine like terms: 0 + 2 = 2 -1a = 2 Divide each side by '-1'. a = -2 Simplifying a = -2
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