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Simplifying -40 + 7a = 4a + -8(7a + 5) Reorder the terms: -40 + 7a = 4a + -8(5 + 7a) -40 + 7a = 4a + (5 * -8 + 7a * -8) -40 + 7a = 4a + (-40 + -56a) Reorder the terms: -40 + 7a = -40 + 4a + -56a Combine like terms: 4a + -56a = -52a -40 + 7a = -40 + -52a Add '40' to each side of the equation. -40 + 40 + 7a = -40 + 40 + -52a Combine like terms: -40 + 40 = 0 0 + 7a = -40 + 40 + -52a 7a = -40 + 40 + -52a Combine like terms: -40 + 40 = 0 7a = 0 + -52a 7a = -52a Solving 7a = -52a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '52a' to each side of the equation. 7a + 52a = -52a + 52a Combine like terms: 7a + 52a = 59a 59a = -52a + 52a Combine like terms: -52a + 52a = 0 59a = 0 Divide each side by '59'. a = 0 Simplifying a = 0
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