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Simplifying 13 + 4(a + -5) = 11 + -2a Reorder the terms: 13 + 4(-5 + a) = 11 + -2a 13 + (-5 * 4 + a * 4) = 11 + -2a 13 + (-20 + 4a) = 11 + -2a Combine like terms: 13 + -20 = -7 -7 + 4a = 11 + -2a Solving -7 + 4a = 11 + -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. -7 + 4a + 2a = 11 + -2a + 2a Combine like terms: 4a + 2a = 6a -7 + 6a = 11 + -2a + 2a Combine like terms: -2a + 2a = 0 -7 + 6a = 11 + 0 -7 + 6a = 11 Add '7' to each side of the equation. -7 + 7 + 6a = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 6a = 11 + 7 6a = 11 + 7 Combine like terms: 11 + 7 = 18 6a = 18 Divide each side by '6'. a = 3 Simplifying a = 3
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