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Simplifying 5(a + -2) = 2(a + 3) Reorder the terms: 5(-2 + a) = 2(a + 3) (-2 * 5 + a * 5) = 2(a + 3) (-10 + 5a) = 2(a + 3) Reorder the terms: -10 + 5a = 2(3 + a) -10 + 5a = (3 * 2 + a * 2) -10 + 5a = (6 + 2a) Solving -10 + 5a = 6 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -10 + 5a + -2a = 6 + 2a + -2a Combine like terms: 5a + -2a = 3a -10 + 3a = 6 + 2a + -2a Combine like terms: 2a + -2a = 0 -10 + 3a = 6 + 0 -10 + 3a = 6 Add '10' to each side of the equation. -10 + 10 + 3a = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 3a = 6 + 10 3a = 6 + 10 Combine like terms: 6 + 10 = 16 3a = 16 Divide each side by '3'. a = 5.333333333 Simplifying a = 5.333333333
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