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Simplifying -8(5 + -6a) = -8(1 + -2a) (5 * -8 + -6a * -8) = -8(1 + -2a) (-40 + 48a) = -8(1 + -2a) -40 + 48a = (1 * -8 + -2a * -8) -40 + 48a = (-8 + 16a) Solving -40 + 48a = -8 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -40 + 48a + -16a = -8 + 16a + -16a Combine like terms: 48a + -16a = 32a -40 + 32a = -8 + 16a + -16a Combine like terms: 16a + -16a = 0 -40 + 32a = -8 + 0 -40 + 32a = -8 Add '40' to each side of the equation. -40 + 40 + 32a = -8 + 40 Combine like terms: -40 + 40 = 0 0 + 32a = -8 + 40 32a = -8 + 40 Combine like terms: -8 + 40 = 32 32a = 32 Divide each side by '32'. a = 1 Simplifying a = 1
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