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Simplifying (3a + -3) + (-6a + -7) + (6a + -8) = 0 Reorder the terms: (-3 + 3a) + (-6a + -7) + (6a + -8) = 0 Remove parenthesis around (-3 + 3a) -3 + 3a + (-6a + -7) + (6a + -8) = 0 Reorder the terms: -3 + 3a + (-7 + -6a) + (6a + -8) = 0 Remove parenthesis around (-7 + -6a) -3 + 3a + -7 + -6a + (6a + -8) = 0 Reorder the terms: -3 + 3a + -7 + -6a + (-8 + 6a) = 0 Remove parenthesis around (-8 + 6a) -3 + 3a + -7 + -6a + -8 + 6a = 0 Reorder the terms: -3 + -7 + -8 + 3a + -6a + 6a = 0 Combine like terms: -3 + -7 = -10 -10 + -8 + 3a + -6a + 6a = 0 Combine like terms: -10 + -8 = -18 -18 + 3a + -6a + 6a = 0 Combine like terms: 3a + -6a = -3a -18 + -3a + 6a = 0 Combine like terms: -3a + 6a = 3a -18 + 3a = 0 Solving -18 + 3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 3a = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3a = 0 + 18 3a = 0 + 18 Combine like terms: 0 + 18 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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