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Simplifying 2(a + -5) + 6a = -6(a + -5) + 2 Reorder the terms: 2(-5 + a) + 6a = -6(a + -5) + 2 (-5 * 2 + a * 2) + 6a = -6(a + -5) + 2 (-10 + 2a) + 6a = -6(a + -5) + 2 Combine like terms: 2a + 6a = 8a -10 + 8a = -6(a + -5) + 2 Reorder the terms: -10 + 8a = -6(-5 + a) + 2 -10 + 8a = (-5 * -6 + a * -6) + 2 -10 + 8a = (30 + -6a) + 2 Reorder the terms: -10 + 8a = 30 + 2 + -6a Combine like terms: 30 + 2 = 32 -10 + 8a = 32 + -6a Solving -10 + 8a = 32 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -10 + 8a + 6a = 32 + -6a + 6a Combine like terms: 8a + 6a = 14a -10 + 14a = 32 + -6a + 6a Combine like terms: -6a + 6a = 0 -10 + 14a = 32 + 0 -10 + 14a = 32 Add '10' to each side of the equation. -10 + 10 + 14a = 32 + 10 Combine like terms: -10 + 10 = 0 0 + 14a = 32 + 10 14a = 32 + 10 Combine like terms: 32 + 10 = 42 14a = 42 Divide each side by '14'. a = 3 Simplifying a = 3
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