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Simplifying -4(1 + -8a) = -5(8 + -7a) (1 * -4 + -8a * -4) = -5(8 + -7a) (-4 + 32a) = -5(8 + -7a) -4 + 32a = (8 * -5 + -7a * -5) -4 + 32a = (-40 + 35a) Solving -4 + 32a = -40 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. -4 + 32a + -35a = -40 + 35a + -35a Combine like terms: 32a + -35a = -3a -4 + -3a = -40 + 35a + -35a Combine like terms: 35a + -35a = 0 -4 + -3a = -40 + 0 -4 + -3a = -40 Add '4' to each side of the equation. -4 + 4 + -3a = -40 + 4 Combine like terms: -4 + 4 = 0 0 + -3a = -40 + 4 -3a = -40 + 4 Combine like terms: -40 + 4 = -36 -3a = -36 Divide each side by '-3'. a = 12 Simplifying a = 12
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