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Simplifying 7a + -5(8 + a) = 3(a + 5) 7a + (8 * -5 + a * -5) = 3(a + 5) 7a + (-40 + -5a) = 3(a + 5) Reorder the terms: -40 + 7a + -5a = 3(a + 5) Combine like terms: 7a + -5a = 2a -40 + 2a = 3(a + 5) Reorder the terms: -40 + 2a = 3(5 + a) -40 + 2a = (5 * 3 + a * 3) -40 + 2a = (15 + 3a) Solving -40 + 2a = 15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -40 + 2a + -3a = 15 + 3a + -3a Combine like terms: 2a + -3a = -1a -40 + -1a = 15 + 3a + -3a Combine like terms: 3a + -3a = 0 -40 + -1a = 15 + 0 -40 + -1a = 15 Add '40' to each side of the equation. -40 + 40 + -1a = 15 + 40 Combine like terms: -40 + 40 = 0 0 + -1a = 15 + 40 -1a = 15 + 40 Combine like terms: 15 + 40 = 55 -1a = 55 Divide each side by '-1'. a = -55 Simplifying a = -55
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