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Simplifying 8(a + -1) + 7a = 16 + 3a Reorder the terms: 8(-1 + a) + 7a = 16 + 3a (-1 * 8 + a * 8) + 7a = 16 + 3a (-8 + 8a) + 7a = 16 + 3a Combine like terms: 8a + 7a = 15a -8 + 15a = 16 + 3a Solving -8 + 15a = 16 + 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. -8 + 15a + -3a = 16 + 3a + -3a Combine like terms: 15a + -3a = 12a -8 + 12a = 16 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + 12a = 16 + 0 -8 + 12a = 16 Add '8' to each side of the equation. -8 + 8 + 12a = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 12a = 16 + 8 12a = 16 + 8 Combine like terms: 16 + 8 = 24 12a = 24 Divide each side by '12'. a = 2 Simplifying a = 2
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