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Simplifying 5(3a + 3) = 2(-3a + -3) Reorder the terms: 5(3 + 3a) = 2(-3a + -3) (3 * 5 + 3a * 5) = 2(-3a + -3) (15 + 15a) = 2(-3a + -3) Reorder the terms: 15 + 15a = 2(-3 + -3a) 15 + 15a = (-3 * 2 + -3a * 2) 15 + 15a = (-6 + -6a) Solving 15 + 15a = -6 + -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 + 15a + 6a = -6 + -6a + 6a Combine like terms: 15a + 6a = 21a 15 + 21a = -6 + -6a + 6a Combine like terms: -6a + 6a = 0 15 + 21a = -6 + 0 15 + 21a = -6 Add '-15' to each side of the equation. 15 + -15 + 21a = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 21a = -6 + -15 21a = -6 + -15 Combine like terms: -6 + -15 = -21 21a = -21 Divide each side by '21'. a = -1 Simplifying a = -1
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