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Simplifying 5(a + -8) + 13 = 3(a + 7) Reorder the terms: 5(-8 + a) + 13 = 3(a + 7) (-8 * 5 + a * 5) + 13 = 3(a + 7) (-40 + 5a) + 13 = 3(a + 7) Reorder the terms: -40 + 13 + 5a = 3(a + 7) Combine like terms: -40 + 13 = -27 -27 + 5a = 3(a + 7) Reorder the terms: -27 + 5a = 3(7 + a) -27 + 5a = (7 * 3 + a * 3) -27 + 5a = (21 + 3a) Solving -27 + 5a = 21 + 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. -27 + 5a + -3a = 21 + 3a + -3a Combine like terms: 5a + -3a = 2a -27 + 2a = 21 + 3a + -3a Combine like terms: 3a + -3a = 0 -27 + 2a = 21 + 0 -27 + 2a = 21 Add '27' to each side of the equation. -27 + 27 + 2a = 21 + 27 Combine like terms: -27 + 27 = 0 0 + 2a = 21 + 27 2a = 21 + 27 Combine like terms: 21 + 27 = 48 2a = 48 Divide each side by '2'. a = 24 Simplifying a = 24
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