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Simplifying -8(1 + a) + 3 = 5a + 34 (1 * -8 + a * -8) + 3 = 5a + 34 (-8 + -8a) + 3 = 5a + 34 Reorder the terms: -8 + 3 + -8a = 5a + 34 Combine like terms: -8 + 3 = -5 -5 + -8a = 5a + 34 Reorder the terms: -5 + -8a = 34 + 5a Solving -5 + -8a = 34 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -5 + -8a + -5a = 34 + 5a + -5a Combine like terms: -8a + -5a = -13a -5 + -13a = 34 + 5a + -5a Combine like terms: 5a + -5a = 0 -5 + -13a = 34 + 0 -5 + -13a = 34 Add '5' to each side of the equation. -5 + 5 + -13a = 34 + 5 Combine like terms: -5 + 5 = 0 0 + -13a = 34 + 5 -13a = 34 + 5 Combine like terms: 34 + 5 = 39 -13a = 39 Divide each side by '-13'. a = -3 Simplifying a = -3
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