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Simplifying -34 + 8a = 6(5 + 4a) -34 + 8a = (5 * 6 + 4a * 6) -34 + 8a = (30 + 24a) Solving -34 + 8a = 30 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. -34 + 8a + -24a = 30 + 24a + -24a Combine like terms: 8a + -24a = -16a -34 + -16a = 30 + 24a + -24a Combine like terms: 24a + -24a = 0 -34 + -16a = 30 + 0 -34 + -16a = 30 Add '34' to each side of the equation. -34 + 34 + -16a = 30 + 34 Combine like terms: -34 + 34 = 0 0 + -16a = 30 + 34 -16a = 30 + 34 Combine like terms: 30 + 34 = 64 -16a = 64 Divide each side by '-16'. a = -4 Simplifying a = -4
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