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Simplifying 5(2a + -4) = 2(a + 30) Reorder the terms: 5(-4 + 2a) = 2(a + 30) (-4 * 5 + 2a * 5) = 2(a + 30) (-20 + 10a) = 2(a + 30) Reorder the terms: -20 + 10a = 2(30 + a) -20 + 10a = (30 * 2 + a * 2) -20 + 10a = (60 + 2a) Solving -20 + 10a = 60 + 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 + 10a + -2a = 60 + 2a + -2a Combine like terms: 10a + -2a = 8a -20 + 8a = 60 + 2a + -2a Combine like terms: 2a + -2a = 0 -20 + 8a = 60 + 0 -20 + 8a = 60 Add '20' to each side of the equation. -20 + 20 + 8a = 60 + 20 Combine like terms: -20 + 20 = 0 0 + 8a = 60 + 20 8a = 60 + 20 Combine like terms: 60 + 20 = 80 8a = 80 Divide each side by '8'. a = 10 Simplifying a = 10
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