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Simplifying -2(a + 3) = 5(4 + -3a) Reorder the terms: -2(3 + a) = 5(4 + -3a) (3 * -2 + a * -2) = 5(4 + -3a) (-6 + -2a) = 5(4 + -3a) -6 + -2a = (4 * 5 + -3a * 5) -6 + -2a = (20 + -15a) Solving -6 + -2a = 20 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. -6 + -2a + 15a = 20 + -15a + 15a Combine like terms: -2a + 15a = 13a -6 + 13a = 20 + -15a + 15a Combine like terms: -15a + 15a = 0 -6 + 13a = 20 + 0 -6 + 13a = 20 Add '6' to each side of the equation. -6 + 6 + 13a = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 13a = 20 + 6 13a = 20 + 6 Combine like terms: 20 + 6 = 26 13a = 26 Divide each side by '13'. a = 2 Simplifying a = 2
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