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Simplifying 8(9a + -5) = -20 + -7a Reorder the terms: 8(-5 + 9a) = -20 + -7a (-5 * 8 + 9a * 8) = -20 + -7a (-40 + 72a) = -20 + -7a Solving -40 + 72a = -20 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -40 + 72a + 7a = -20 + -7a + 7a Combine like terms: 72a + 7a = 79a -40 + 79a = -20 + -7a + 7a Combine like terms: -7a + 7a = 0 -40 + 79a = -20 + 0 -40 + 79a = -20 Add '40' to each side of the equation. -40 + 40 + 79a = -20 + 40 Combine like terms: -40 + 40 = 0 0 + 79a = -20 + 40 79a = -20 + 40 Combine like terms: -20 + 40 = 20 79a = 20 Divide each side by '79'. a = 0.253164557 Simplifying a = 0.253164557
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