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Simplifying -5a + 40 = 5(a + -8) Reorder the terms: 40 + -5a = 5(a + -8) Reorder the terms: 40 + -5a = 5(-8 + a) 40 + -5a = (-8 * 5 + a * 5) 40 + -5a = (-40 + 5a) Solving 40 + -5a = -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. 40 + -5a + -5a = -40 + 5a + -5a Combine like terms: -5a + -5a = -10a 40 + -10a = -40 + 5a + -5a Combine like terms: 5a + -5a = 0 40 + -10a = -40 + 0 40 + -10a = -40 Add '-40' to each side of the equation. 40 + -40 + -10a = -40 + -40 Combine like terms: 40 + -40 = 0 0 + -10a = -40 + -40 -10a = -40 + -40 Combine like terms: -40 + -40 = -80 -10a = -80 Divide each side by '-10'. a = 8 Simplifying a = 8
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