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Simplifying 2(7a + -4) = 8a + 10 Reorder the terms: 2(-4 + 7a) = 8a + 10 (-4 * 2 + 7a * 2) = 8a + 10 (-8 + 14a) = 8a + 10 Reorder the terms: -8 + 14a = 10 + 8a Solving -8 + 14a = 10 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -8 + 14a + -8a = 10 + 8a + -8a Combine like terms: 14a + -8a = 6a -8 + 6a = 10 + 8a + -8a Combine like terms: 8a + -8a = 0 -8 + 6a = 10 + 0 -8 + 6a = 10 Add '8' to each side of the equation. -8 + 8 + 6a = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6a = 10 + 8 6a = 10 + 8 Combine like terms: 10 + 8 = 18 6a = 18 Divide each side by '6'. a = 3 Simplifying a = 3
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