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Simplifying 5a + 2 = 3(a + -2) + 4 Reorder the terms: 2 + 5a = 3(a + -2) + 4 Reorder the terms: 2 + 5a = 3(-2 + a) + 4 2 + 5a = (-2 * 3 + a * 3) + 4 2 + 5a = (-6 + 3a) + 4 Reorder the terms: 2 + 5a = -6 + 4 + 3a Combine like terms: -6 + 4 = -2 2 + 5a = -2 + 3a Solving 2 + 5a = -2 + 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. 2 + 5a + -3a = -2 + 3a + -3a Combine like terms: 5a + -3a = 2a 2 + 2a = -2 + 3a + -3a Combine like terms: 3a + -3a = 0 2 + 2a = -2 + 0 2 + 2a = -2 Add '-2' to each side of the equation. 2 + -2 + 2a = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 2a = -2 + -2 2a = -2 + -2 Combine like terms: -2 + -2 = -4 2a = -4 Divide each side by '2'. a = -2 Simplifying a = -2
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