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Simplifying -55 = 5(a + -8) Reorder the terms: -55 = 5(-8 + a) -55 = (-8 * 5 + a * 5) -55 = (-40 + 5a) Solving -55 = -40 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -55 + -5a = -40 + 5a + -5a Combine like terms: 5a + -5a = 0 -55 + -5a = -40 + 0 -55 + -5a = -40 Add '55' to each side of the equation. -55 + 55 + -5a = -40 + 55 Combine like terms: -55 + 55 = 0 0 + -5a = -40 + 55 -5a = -40 + 55 Combine like terms: -40 + 55 = 15 -5a = 15 Divide each side by '-5'. a = -3 Simplifying a = -3
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