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Simplifying -12 + 8a = -5(a + 8) + 6a Reorder the terms: -12 + 8a = -5(8 + a) + 6a -12 + 8a = (8 * -5 + a * -5) + 6a -12 + 8a = (-40 + -5a) + 6a Combine like terms: -5a + 6a = 1a -12 + 8a = -40 + 1a Solving -12 + 8a = -40 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -12 + 8a + -1a = -40 + 1a + -1a Combine like terms: 8a + -1a = 7a -12 + 7a = -40 + 1a + -1a Combine like terms: 1a + -1a = 0 -12 + 7a = -40 + 0 -12 + 7a = -40 Add '12' to each side of the equation. -12 + 12 + 7a = -40 + 12 Combine like terms: -12 + 12 = 0 0 + 7a = -40 + 12 7a = -40 + 12 Combine like terms: -40 + 12 = -28 7a = -28 Divide each side by '7'. a = -4 Simplifying a = -4
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