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Simplifying 10a + -7(a + 2) = 19 Reorder the terms: 10a + -7(2 + a) = 19 10a + (2 * -7 + a * -7) = 19 10a + (-14 + -7a) = 19 Reorder the terms: -14 + 10a + -7a = 19 Combine like terms: 10a + -7a = 3a -14 + 3a = 19 Solving -14 + 3a = 19 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3a = 19 + 14 Combine like terms: -14 + 14 = 0 0 + 3a = 19 + 14 3a = 19 + 14 Combine like terms: 19 + 14 = 33 3a = 33 Divide each side by '3'. a = 11 Simplifying a = 11
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