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Simplifying 5 = -8(5 + 3a) + -3(-7 + -7a) 5 = (5 * -8 + 3a * -8) + -3(-7 + -7a) 5 = (-40 + -24a) + -3(-7 + -7a) 5 = -40 + -24a + (-7 * -3 + -7a * -3) 5 = -40 + -24a + (21 + 21a) Reorder the terms: 5 = -40 + 21 + -24a + 21a Combine like terms: -40 + 21 = -19 5 = -19 + -24a + 21a Combine like terms: -24a + 21a = -3a 5 = -19 + -3a Solving 5 = -19 + -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. 5 + 3a = -19 + -3a + 3a Combine like terms: -3a + 3a = 0 5 + 3a = -19 + 0 5 + 3a = -19 Add '-5' to each side of the equation. 5 + -5 + 3a = -19 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = -19 + -5 3a = -19 + -5 Combine like terms: -19 + -5 = -24 3a = -24 Divide each side by '3'. a = -8 Simplifying a = -8
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