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Simplifying 8(6 + -1a) = 8a + 8(4 + -1a) (6 * 8 + -1a * 8) = 8a + 8(4 + -1a) (48 + -8a) = 8a + 8(4 + -1a) 48 + -8a = 8a + (4 * 8 + -1a * 8) 48 + -8a = 8a + (32 + -8a) Reorder the terms: 48 + -8a = 32 + 8a + -8a Combine like terms: 8a + -8a = 0 48 + -8a = 32 + 0 48 + -8a = 32 Solving 48 + -8a = 32 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 + -8a = 32 + -48 Combine like terms: 48 + -48 = 0 0 + -8a = 32 + -48 -8a = 32 + -48 Combine like terms: 32 + -48 = -16 -8a = -16 Divide each side by '-8'. a = 2 Simplifying a = 2
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