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Simplifying 2a + -1(a + 5) = 5a + -9 Reorder the terms: 2a + -1(5 + a) = 5a + -9 2a + (5 * -1 + a * -1) = 5a + -9 2a + (-5 + -1a) = 5a + -9 Reorder the terms: -5 + 2a + -1a = 5a + -9 Combine like terms: 2a + -1a = 1a -5 + 1a = 5a + -9 Reorder the terms: -5 + 1a = -9 + 5a Solving -5 + 1a = -9 + 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. -5 + 1a + -5a = -9 + 5a + -5a Combine like terms: 1a + -5a = -4a -5 + -4a = -9 + 5a + -5a Combine like terms: 5a + -5a = 0 -5 + -4a = -9 + 0 -5 + -4a = -9 Add '5' to each side of the equation. -5 + 5 + -4a = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -4a = -9 + 5 -4a = -9 + 5 Combine like terms: -9 + 5 = -4 -4a = -4 Divide each side by '-4'. a = 1 Simplifying a = 1
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