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Simplifying -3(a + 5) + 3 = -6(a + 8) Reorder the terms: -3(5 + a) + 3 = -6(a + 8) (5 * -3 + a * -3) + 3 = -6(a + 8) (-15 + -3a) + 3 = -6(a + 8) Reorder the terms: -15 + 3 + -3a = -6(a + 8) Combine like terms: -15 + 3 = -12 -12 + -3a = -6(a + 8) Reorder the terms: -12 + -3a = -6(8 + a) -12 + -3a = (8 * -6 + a * -6) -12 + -3a = (-48 + -6a) Solving -12 + -3a = -48 + -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. -12 + -3a + 6a = -48 + -6a + 6a Combine like terms: -3a + 6a = 3a -12 + 3a = -48 + -6a + 6a Combine like terms: -6a + 6a = 0 -12 + 3a = -48 + 0 -12 + 3a = -48 Add '12' to each side of the equation. -12 + 12 + 3a = -48 + 12 Combine like terms: -12 + 12 = 0 0 + 3a = -48 + 12 3a = -48 + 12 Combine like terms: -48 + 12 = -36 3a = -36 Divide each side by '3'. a = -12 Simplifying a = -12
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