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Simplifying 7a + -5(8 + -1a) = 2(a + 5) 7a + (8 * -5 + -1a * -5) = 2(a + 5) 7a + (-40 + 5a) = 2(a + 5) Reorder the terms: -40 + 7a + 5a = 2(a + 5) Combine like terms: 7a + 5a = 12a -40 + 12a = 2(a + 5) Reorder the terms: -40 + 12a = 2(5 + a) -40 + 12a = (5 * 2 + a * 2) -40 + 12a = (10 + 2a) Solving -40 + 12a = 10 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -40 + 12a + -2a = 10 + 2a + -2a Combine like terms: 12a + -2a = 10a -40 + 10a = 10 + 2a + -2a Combine like terms: 2a + -2a = 0 -40 + 10a = 10 + 0 -40 + 10a = 10 Add '40' to each side of the equation. -40 + 40 + 10a = 10 + 40 Combine like terms: -40 + 40 = 0 0 + 10a = 10 + 40 10a = 10 + 40 Combine like terms: 10 + 40 = 50 10a = 50 Divide each side by '10'. a = 5 Simplifying a = 5
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