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Simplifying 5(2a + -4) = 4(a + -4) Reorder the terms: 5(-4 + 2a) = 4(a + -4) (-4 * 5 + 2a * 5) = 4(a + -4) (-20 + 10a) = 4(a + -4) Reorder the terms: -20 + 10a = 4(-4 + a) -20 + 10a = (-4 * 4 + a * 4) -20 + 10a = (-16 + 4a) Solving -20 + 10a = -16 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -20 + 10a + -4a = -16 + 4a + -4a Combine like terms: 10a + -4a = 6a -20 + 6a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 -20 + 6a = -16 + 0 -20 + 6a = -16 Add '20' to each side of the equation. -20 + 20 + 6a = -16 + 20 Combine like terms: -20 + 20 = 0 0 + 6a = -16 + 20 6a = -16 + 20 Combine like terms: -16 + 20 = 4 6a = 4 Divide each side by '6'. a = 0.6666666667 Simplifying a = 0.6666666667
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