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Simplifying 6(a + -5) + 9 = 3(a + -6) Reorder the terms: 6(-5 + a) + 9 = 3(a + -6) (-5 * 6 + a * 6) + 9 = 3(a + -6) (-30 + 6a) + 9 = 3(a + -6) Reorder the terms: -30 + 9 + 6a = 3(a + -6) Combine like terms: -30 + 9 = -21 -21 + 6a = 3(a + -6) Reorder the terms: -21 + 6a = 3(-6 + a) -21 + 6a = (-6 * 3 + a * 3) -21 + 6a = (-18 + 3a) Solving -21 + 6a = -18 + 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. -21 + 6a + -3a = -18 + 3a + -3a Combine like terms: 6a + -3a = 3a -21 + 3a = -18 + 3a + -3a Combine like terms: 3a + -3a = 0 -21 + 3a = -18 + 0 -21 + 3a = -18 Add '21' to each side of the equation. -21 + 21 + 3a = -18 + 21 Combine like terms: -21 + 21 = 0 0 + 3a = -18 + 21 3a = -18 + 21 Combine like terms: -18 + 21 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1
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