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