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Simplifying 5(a + -2) = 46 + -3a Reorder the terms: 5(-2 + a) = 46 + -3a (-2 * 5 + a * 5) = 46 + -3a (-10 + 5a) = 46 + -3a Solving -10 + 5a = 46 + -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 = 46 + -3a + 3a Combine like terms: 5a + 3a = 8a -10 + 8a = 46 + -3a + 3a Combine like terms: -3a + 3a = 0 -10 + 8a = 46 + 0 -10 + 8a = 46 Add '10' to each side of the equation. -10 + 10 + 8a = 46 + 10 Combine like terms: -10 + 10 = 0 0 + 8a = 46 + 10 8a = 46 + 10 Combine like terms: 46 + 10 = 56 8a = 56 Divide each side by '8'. a = 7 Simplifying a = 7
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