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Simplifying 2(3a + -7) = 4a + 10 Reorder the terms: 2(-7 + 3a) = 4a + 10 (-7 * 2 + 3a * 2) = 4a + 10 (-14 + 6a) = 4a + 10 Reorder the terms: -14 + 6a = 10 + 4a Solving -14 + 6a = 10 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -14 + 6a + -4a = 10 + 4a + -4a Combine like terms: 6a + -4a = 2a -14 + 2a = 10 + 4a + -4a Combine like terms: 4a + -4a = 0 -14 + 2a = 10 + 0 -14 + 2a = 10 Add '14' to each side of the equation. -14 + 14 + 2a = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 2a = 10 + 14 2a = 10 + 14 Combine like terms: 10 + 14 = 24 2a = 24 Divide each side by '2'. a = 12 Simplifying a = 12
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