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Simplifying -2(3a + 8) = 2(a + -20) Reorder the terms: -2(8 + 3a) = 2(a + -20) (8 * -2 + 3a * -2) = 2(a + -20) (-16 + -6a) = 2(a + -20) Reorder the terms: -16 + -6a = 2(-20 + a) -16 + -6a = (-20 * 2 + a * 2) -16 + -6a = (-40 + 2a) Solving -16 + -6a = -40 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -16 + -6a + -2a = -40 + 2a + -2a Combine like terms: -6a + -2a = -8a -16 + -8a = -40 + 2a + -2a Combine like terms: 2a + -2a = 0 -16 + -8a = -40 + 0 -16 + -8a = -40 Add '16' to each side of the equation. -16 + 16 + -8a = -40 + 16 Combine like terms: -16 + 16 = 0 0 + -8a = -40 + 16 -8a = -40 + 16 Combine like terms: -40 + 16 = -24 -8a = -24 Divide each side by '-8'. a = 3 Simplifying a = 3
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