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Simplifying 7(a + -2) + 3a = 14 + 3a Reorder the terms: 7(-2 + a) + 3a = 14 + 3a (-2 * 7 + a * 7) + 3a = 14 + 3a (-14 + 7a) + 3a = 14 + 3a Combine like terms: 7a + 3a = 10a -14 + 10a = 14 + 3a Solving -14 + 10a = 14 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -14 + 10a + -3a = 14 + 3a + -3a Combine like terms: 10a + -3a = 7a -14 + 7a = 14 + 3a + -3a Combine like terms: 3a + -3a = 0 -14 + 7a = 14 + 0 -14 + 7a = 14 Add '14' to each side of the equation. -14 + 14 + 7a = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 7a = 14 + 14 7a = 14 + 14 Combine like terms: 14 + 14 = 28 7a = 28 Divide each side by '7'. a = 4 Simplifying a = 4
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