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Simplifying 10 + 5(a + -3) = 13 + -4a Reorder the terms: 10 + 5(-3 + a) = 13 + -4a 10 + (-3 * 5 + a * 5) = 13 + -4a 10 + (-15 + 5a) = 13 + -4a Combine like terms: 10 + -15 = -5 -5 + 5a = 13 + -4a Solving -5 + 5a = 13 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -5 + 5a + 4a = 13 + -4a + 4a Combine like terms: 5a + 4a = 9a -5 + 9a = 13 + -4a + 4a Combine like terms: -4a + 4a = 0 -5 + 9a = 13 + 0 -5 + 9a = 13 Add '5' to each side of the equation. -5 + 5 + 9a = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 9a = 13 + 5 9a = 13 + 5 Combine like terms: 13 + 5 = 18 9a = 18 Divide each side by '9'. a = 2 Simplifying a = 2
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