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Simplifying 8(-1a + -6) = -6a + 4(3 + -3a) Reorder the terms: 8(-6 + -1a) = -6a + 4(3 + -3a) (-6 * 8 + -1a * 8) = -6a + 4(3 + -3a) (-48 + -8a) = -6a + 4(3 + -3a) -48 + -8a = -6a + (3 * 4 + -3a * 4) -48 + -8a = -6a + (12 + -12a) Reorder the terms: -48 + -8a = 12 + -6a + -12a Combine like terms: -6a + -12a = -18a -48 + -8a = 12 + -18a Solving -48 + -8a = 12 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. -48 + -8a + 18a = 12 + -18a + 18a Combine like terms: -8a + 18a = 10a -48 + 10a = 12 + -18a + 18a Combine like terms: -18a + 18a = 0 -48 + 10a = 12 + 0 -48 + 10a = 12 Add '48' to each side of the equation. -48 + 48 + 10a = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 10a = 12 + 48 10a = 12 + 48 Combine like terms: 12 + 48 = 60 10a = 60 Divide each side by '10'. a = 6 Simplifying a = 6
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