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Simplifying -5(1 + 6a) = 5(a + -8) (1 * -5 + 6a * -5) = 5(a + -8) (-5 + -30a) = 5(a + -8) Reorder the terms: -5 + -30a = 5(-8 + a) -5 + -30a = (-8 * 5 + a * 5) -5 + -30a = (-40 + 5a) Solving -5 + -30a = -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. -5 + -30a + -5a = -40 + 5a + -5a Combine like terms: -30a + -5a = -35a -5 + -35a = -40 + 5a + -5a Combine like terms: 5a + -5a = 0 -5 + -35a = -40 + 0 -5 + -35a = -40 Add '5' to each side of the equation. -5 + 5 + -35a = -40 + 5 Combine like terms: -5 + 5 = 0 0 + -35a = -40 + 5 -35a = -40 + 5 Combine like terms: -40 + 5 = -35 -35a = -35 Divide each side by '-35'. a = 1 Simplifying a = 1
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