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Simplifying -12 = -4(3 + 6a) + -8(5 + -4a) -12 = (3 * -4 + 6a * -4) + -8(5 + -4a) -12 = (-12 + -24a) + -8(5 + -4a) -12 = -12 + -24a + (5 * -8 + -4a * -8) -12 = -12 + -24a + (-40 + 32a) Reorder the terms: -12 = -12 + -40 + -24a + 32a Combine like terms: -12 + -40 = -52 -12 = -52 + -24a + 32a Combine like terms: -24a + 32a = 8a -12 = -52 + 8a Solving -12 = -52 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -12 + -8a = -52 + 8a + -8a Combine like terms: 8a + -8a = 0 -12 + -8a = -52 + 0 -12 + -8a = -52 Add '12' to each side of the equation. -12 + 12 + -8a = -52 + 12 Combine like terms: -12 + 12 = 0 0 + -8a = -52 + 12 -8a = -52 + 12 Combine like terms: -52 + 12 = -40 -8a = -40 Divide each side by '-8'. a = 5 Simplifying a = 5
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