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Simplifying 5a + -4(a + -9) = 2 + 2a Reorder the terms: 5a + -4(-9 + a) = 2 + 2a 5a + (-9 * -4 + a * -4) = 2 + 2a 5a + (36 + -4a) = 2 + 2a Reorder the terms: 36 + 5a + -4a = 2 + 2a Combine like terms: 5a + -4a = 1a 36 + 1a = 2 + 2a Solving 36 + 1a = 2 + 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. 36 + 1a + -2a = 2 + 2a + -2a Combine like terms: 1a + -2a = -1a 36 + -1a = 2 + 2a + -2a Combine like terms: 2a + -2a = 0 36 + -1a = 2 + 0 36 + -1a = 2 Add '-36' to each side of the equation. 36 + -36 + -1a = 2 + -36 Combine like terms: 36 + -36 = 0 0 + -1a = 2 + -36 -1a = 2 + -36 Combine like terms: 2 + -36 = -34 -1a = -34 Divide each side by '-1'. a = 34 Simplifying a = 34
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