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Simplifying 3(a + -5) = 9 + 4(a + -6) Reorder the terms: 3(-5 + a) = 9 + 4(a + -6) (-5 * 3 + a * 3) = 9 + 4(a + -6) (-15 + 3a) = 9 + 4(a + -6) Reorder the terms: -15 + 3a = 9 + 4(-6 + a) -15 + 3a = 9 + (-6 * 4 + a * 4) -15 + 3a = 9 + (-24 + 4a) Combine like terms: 9 + -24 = -15 -15 + 3a = -15 + 4a Add '15' to each side of the equation. -15 + 15 + 3a = -15 + 15 + 4a Combine like terms: -15 + 15 = 0 0 + 3a = -15 + 15 + 4a 3a = -15 + 15 + 4a Combine like terms: -15 + 15 = 0 3a = 0 + 4a 3a = 4a Solving 3a = 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 3a + -4a = 4a + -4a Combine like terms: 3a + -4a = -1a -1a = 4a + -4a Combine like terms: 4a + -4a = 0 -1a = 0 Divide each side by '-1'. a = 0 Simplifying a = 0
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