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Simplifying 5(3a + -3) = 3(4a + 4) Reorder the terms: 5(-3 + 3a) = 3(4a + 4) (-3 * 5 + 3a * 5) = 3(4a + 4) (-15 + 15a) = 3(4a + 4) Reorder the terms: -15 + 15a = 3(4 + 4a) -15 + 15a = (4 * 3 + 4a * 3) -15 + 15a = (12 + 12a) Solving -15 + 15a = 12 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -15 + 15a + -12a = 12 + 12a + -12a Combine like terms: 15a + -12a = 3a -15 + 3a = 12 + 12a + -12a Combine like terms: 12a + -12a = 0 -15 + 3a = 12 + 0 -15 + 3a = 12 Add '15' to each side of the equation. -15 + 15 + 3a = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 3a = 12 + 15 3a = 12 + 15 Combine like terms: 12 + 15 = 27 3a = 27 Divide each side by '3'. a = 9 Simplifying a = 9
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