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Simplifying -3(6 + 6a) = 8(-5 + -5a) (6 * -3 + 6a * -3) = 8(-5 + -5a) (-18 + -18a) = 8(-5 + -5a) -18 + -18a = (-5 * 8 + -5a * 8) -18 + -18a = (-40 + -40a) Solving -18 + -18a = -40 + -40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40a' to each side of the equation. -18 + -18a + 40a = -40 + -40a + 40a Combine like terms: -18a + 40a = 22a -18 + 22a = -40 + -40a + 40a Combine like terms: -40a + 40a = 0 -18 + 22a = -40 + 0 -18 + 22a = -40 Add '18' to each side of the equation. -18 + 18 + 22a = -40 + 18 Combine like terms: -18 + 18 = 0 0 + 22a = -40 + 18 22a = -40 + 18 Combine like terms: -40 + 18 = -22 22a = -22 Divide each side by '22'. a = -1 Simplifying a = -1
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