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Simplifying 5(a + -8) + 12 = 2(a + -5) Reorder the terms: 5(-8 + a) + 12 = 2(a + -5) (-8 * 5 + a * 5) + 12 = 2(a + -5) (-40 + 5a) + 12 = 2(a + -5) Reorder the terms: -40 + 12 + 5a = 2(a + -5) Combine like terms: -40 + 12 = -28 -28 + 5a = 2(a + -5) Reorder the terms: -28 + 5a = 2(-5 + a) -28 + 5a = (-5 * 2 + a * 2) -28 + 5a = (-10 + 2a) Solving -28 + 5a = -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. -28 + 5a + -2a = -10 + 2a + -2a Combine like terms: 5a + -2a = 3a -28 + 3a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 -28 + 3a = -10 + 0 -28 + 3a = -10 Add '28' to each side of the equation. -28 + 28 + 3a = -10 + 28 Combine like terms: -28 + 28 = 0 0 + 3a = -10 + 28 3a = -10 + 28 Combine like terms: -10 + 28 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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