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Simplifying 8(2a + -5) + -3 = 116 + 4a Reorder the terms: 8(-5 + 2a) + -3 = 116 + 4a (-5 * 8 + 2a * 8) + -3 = 116 + 4a (-40 + 16a) + -3 = 116 + 4a Reorder the terms: -40 + -3 + 16a = 116 + 4a Combine like terms: -40 + -3 = -43 -43 + 16a = 116 + 4a Solving -43 + 16a = 116 + 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. -43 + 16a + -4a = 116 + 4a + -4a Combine like terms: 16a + -4a = 12a -43 + 12a = 116 + 4a + -4a Combine like terms: 4a + -4a = 0 -43 + 12a = 116 + 0 -43 + 12a = 116 Add '43' to each side of the equation. -43 + 43 + 12a = 116 + 43 Combine like terms: -43 + 43 = 0 0 + 12a = 116 + 43 12a = 116 + 43 Combine like terms: 116 + 43 = 159 12a = 159 Divide each side by '12'. a = 13.25 Simplifying a = 13.25
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