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Simplifying 5(a + -2) = 3(a + -2) Reorder the terms: 5(-2 + a) = 3(a + -2) (-2 * 5 + a * 5) = 3(a + -2) (-10 + 5a) = 3(a + -2) Reorder the terms: -10 + 5a = 3(-2 + a) -10 + 5a = (-2 * 3 + a * 3) -10 + 5a = (-6 + 3a) Solving -10 + 5a = -6 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -10 + 5a + -3a = -6 + 3a + -3a Combine like terms: 5a + -3a = 2a -10 + 2a = -6 + 3a + -3a Combine like terms: 3a + -3a = 0 -10 + 2a = -6 + 0 -10 + 2a = -6 Add '10' to each side of the equation. -10 + 10 + 2a = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 2a = -6 + 10 2a = -6 + 10 Combine like terms: -6 + 10 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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