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Simplifying 5(a + -8) + 19 = 3(a + -5) Reorder the terms: 5(-8 + a) + 19 = 3(a + -5) (-8 * 5 + a * 5) + 19 = 3(a + -5) (-40 + 5a) + 19 = 3(a + -5) Reorder the terms: -40 + 19 + 5a = 3(a + -5) Combine like terms: -40 + 19 = -21 -21 + 5a = 3(a + -5) Reorder the terms: -21 + 5a = 3(-5 + a) -21 + 5a = (-5 * 3 + a * 3) -21 + 5a = (-15 + 3a) Solving -21 + 5a = -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. -21 + 5a + -3a = -15 + 3a + -3a Combine like terms: 5a + -3a = 2a -21 + 2a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 -21 + 2a = -15 + 0 -21 + 2a = -15 Add '21' to each side of the equation. -21 + 21 + 2a = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 2a = -15 + 21 2a = -15 + 21 Combine like terms: -15 + 21 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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