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Simplifying -11 + 2(a + -5) = 5a + 7 Reorder the terms: -11 + 2(-5 + a) = 5a + 7 -11 + (-5 * 2 + a * 2) = 5a + 7 -11 + (-10 + 2a) = 5a + 7 Combine like terms: -11 + -10 = -21 -21 + 2a = 5a + 7 Reorder the terms: -21 + 2a = 7 + 5a Solving -21 + 2a = 7 + 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. -21 + 2a + -5a = 7 + 5a + -5a Combine like terms: 2a + -5a = -3a -21 + -3a = 7 + 5a + -5a Combine like terms: 5a + -5a = 0 -21 + -3a = 7 + 0 -21 + -3a = 7 Add '21' to each side of the equation. -21 + 21 + -3a = 7 + 21 Combine like terms: -21 + 21 = 0 0 + -3a = 7 + 21 -3a = 7 + 21 Combine like terms: 7 + 21 = 28 -3a = 28 Divide each side by '-3'. a = -9.333333333 Simplifying a = -9.333333333
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