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