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Simplifying 5 + -6(a + 6) = 5a + 13 Reorder the terms: 5 + -6(6 + a) = 5a + 13 5 + (6 * -6 + a * -6) = 5a + 13 5 + (-36 + -6a) = 5a + 13 Combine like terms: 5 + -36 = -31 -31 + -6a = 5a + 13 Reorder the terms: -31 + -6a = 13 + 5a Solving -31 + -6a = 13 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -31 + -6a + -5a = 13 + 5a + -5a Combine like terms: -6a + -5a = -11a -31 + -11a = 13 + 5a + -5a Combine like terms: 5a + -5a = 0 -31 + -11a = 13 + 0 -31 + -11a = 13 Add '31' to each side of the equation. -31 + 31 + -11a = 13 + 31 Combine like terms: -31 + 31 = 0 0 + -11a = 13 + 31 -11a = 13 + 31 Combine like terms: 13 + 31 = 44 -11a = 44 Divide each side by '-11'. a = -4 Simplifying a = -4
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