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Simplifying 8(a + -5) + 5a = -118 Reorder the terms: 8(-5 + a) + 5a = -118 (-5 * 8 + a * 8) + 5a = -118 (-40 + 8a) + 5a = -118 Combine like terms: 8a + 5a = 13a -40 + 13a = -118 Solving -40 + 13a = -118 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 13a = -118 + 40 Combine like terms: -40 + 40 = 0 0 + 13a = -118 + 40 13a = -118 + 40 Combine like terms: -118 + 40 = -78 13a = -78 Divide each side by '13'. a = -6 Simplifying a = -6
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