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Simplifying 5(a + -8) + 20 = 2(a + -4) Reorder the terms: 5(-8 + a) + 20 = 2(a + -4) (-8 * 5 + a * 5) + 20 = 2(a + -4) (-40 + 5a) + 20 = 2(a + -4) Reorder the terms: -40 + 20 + 5a = 2(a + -4) Combine like terms: -40 + 20 = -20 -20 + 5a = 2(a + -4) Reorder the terms: -20 + 5a = 2(-4 + a) -20 + 5a = (-4 * 2 + a * 2) -20 + 5a = (-8 + 2a) Solving -20 + 5a = -8 + 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. -20 + 5a + -2a = -8 + 2a + -2a Combine like terms: 5a + -2a = 3a -20 + 3a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -20 + 3a = -8 + 0 -20 + 3a = -8 Add '20' to each side of the equation. -20 + 20 + 3a = -8 + 20 Combine like terms: -20 + 20 = 0 0 + 3a = -8 + 20 3a = -8 + 20 Combine like terms: -8 + 20 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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