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Simplifying -6(a + 8) = 42 Reorder the terms: -6(8 + a) = 42 (8 * -6 + a * -6) = 42 (-48 + -6a) = 42 Solving -48 + -6a = 42 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -6a = 42 + 48 Combine like terms: -48 + 48 = 0 0 + -6a = 42 + 48 -6a = 42 + 48 Combine like terms: 42 + 48 = 90 -6a = 90 Divide each side by '-6'. a = -15 Simplifying a = -15
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