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Simplifying -34 + -8a = -5(a + 8) Reorder the terms: -34 + -8a = -5(8 + a) -34 + -8a = (8 * -5 + a * -5) -34 + -8a = (-40 + -5a) Solving -34 + -8a = -40 + -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. -34 + -8a + 5a = -40 + -5a + 5a Combine like terms: -8a + 5a = -3a -34 + -3a = -40 + -5a + 5a Combine like terms: -5a + 5a = 0 -34 + -3a = -40 + 0 -34 + -3a = -40 Add '34' to each side of the equation. -34 + 34 + -3a = -40 + 34 Combine like terms: -34 + 34 = 0 0 + -3a = -40 + 34 -3a = -40 + 34 Combine like terms: -40 + 34 = -6 -3a = -6 Divide each side by '-3'. a = 2 Simplifying a = 2
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