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Simplifying 7a + -19 = 2(a + 8) Reorder the terms: -19 + 7a = 2(a + 8) Reorder the terms: -19 + 7a = 2(8 + a) -19 + 7a = (8 * 2 + a * 2) -19 + 7a = (16 + 2a) Solving -19 + 7a = 16 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -19 + 7a + -2a = 16 + 2a + -2a Combine like terms: 7a + -2a = 5a -19 + 5a = 16 + 2a + -2a Combine like terms: 2a + -2a = 0 -19 + 5a = 16 + 0 -19 + 5a = 16 Add '19' to each side of the equation. -19 + 19 + 5a = 16 + 19 Combine like terms: -19 + 19 = 0 0 + 5a = 16 + 19 5a = 16 + 19 Combine like terms: 16 + 19 = 35 5a = 35 Divide each side by '5'. a = 7 Simplifying a = 7
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