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Simplifying 5a + 2(a + -3) + -2 = 6 Reorder the terms: 5a + 2(-3 + a) + -2 = 6 5a + (-3 * 2 + a * 2) + -2 = 6 5a + (-6 + 2a) + -2 = 6 Reorder the terms: -6 + -2 + 5a + 2a = 6 Combine like terms: -6 + -2 = -8 -8 + 5a + 2a = 6 Combine like terms: 5a + 2a = 7a -8 + 7a = 6 Solving -8 + 7a = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7a = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 7a = 6 + 8 7a = 6 + 8 Combine like terms: 6 + 8 = 14 7a = 14 Divide each side by '7'. a = 2 Simplifying a = 2
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