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Simplifying 3(a + -5) = 6(a + -9) Reorder the terms: 3(-5 + a) = 6(a + -9) (-5 * 3 + a * 3) = 6(a + -9) (-15 + 3a) = 6(a + -9) Reorder the terms: -15 + 3a = 6(-9 + a) -15 + 3a = (-9 * 6 + a * 6) -15 + 3a = (-54 + 6a) Solving -15 + 3a = -54 + 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. -15 + 3a + -6a = -54 + 6a + -6a Combine like terms: 3a + -6a = -3a -15 + -3a = -54 + 6a + -6a Combine like terms: 6a + -6a = 0 -15 + -3a = -54 + 0 -15 + -3a = -54 Add '15' to each side of the equation. -15 + 15 + -3a = -54 + 15 Combine like terms: -15 + 15 = 0 0 + -3a = -54 + 15 -3a = -54 + 15 Combine like terms: -54 + 15 = -39 -3a = -39 Divide each side by '-3'. a = 13 Simplifying a = 13
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