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Simplifying 6(a + -1) = 3(a + -5) Reorder the terms: 6(-1 + a) = 3(a + -5) (-1 * 6 + a * 6) = 3(a + -5) (-6 + 6a) = 3(a + -5) Reorder the terms: -6 + 6a = 3(-5 + a) -6 + 6a = (-5 * 3 + a * 3) -6 + 6a = (-15 + 3a) Solving -6 + 6a = -15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -6 + 6a + -3a = -15 + 3a + -3a Combine like terms: 6a + -3a = 3a -6 + 3a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 -6 + 3a = -15 + 0 -6 + 3a = -15 Add '6' to each side of the equation. -6 + 6 + 3a = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 3a = -15 + 6 3a = -15 + 6 Combine like terms: -15 + 6 = -9 3a = -9 Divide each side by '3'. a = -3 Simplifying a = -3
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