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Simplifying 7(2a + -5) + 12 = 8a + 1 Reorder the terms: 7(-5 + 2a) + 12 = 8a + 1 (-5 * 7 + 2a * 7) + 12 = 8a + 1 (-35 + 14a) + 12 = 8a + 1 Reorder the terms: -35 + 12 + 14a = 8a + 1 Combine like terms: -35 + 12 = -23 -23 + 14a = 8a + 1 Reorder the terms: -23 + 14a = 1 + 8a Solving -23 + 14a = 1 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -23 + 14a + -8a = 1 + 8a + -8a Combine like terms: 14a + -8a = 6a -23 + 6a = 1 + 8a + -8a Combine like terms: 8a + -8a = 0 -23 + 6a = 1 + 0 -23 + 6a = 1 Add '23' to each side of the equation. -23 + 23 + 6a = 1 + 23 Combine like terms: -23 + 23 = 0 0 + 6a = 1 + 23 6a = 1 + 23 Combine like terms: 1 + 23 = 24 6a = 24 Divide each side by '6'. a = 4 Simplifying a = 4
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