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Simplifying 9 + -1(5a + 2) = -1a + 5 Reorder the terms: 9 + -1(2 + 5a) = -1a + 5 9 + (2 * -1 + 5a * -1) = -1a + 5 9 + (-2 + -5a) = -1a + 5 Combine like terms: 9 + -2 = 7 7 + -5a = -1a + 5 Reorder the terms: 7 + -5a = 5 + -1a Solving 7 + -5a = 5 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 7 + -5a + a = 5 + -1a + a Combine like terms: -5a + a = -4a 7 + -4a = 5 + -1a + a Combine like terms: -1a + a = 0 7 + -4a = 5 + 0 7 + -4a = 5 Add '-7' to each side of the equation. 7 + -7 + -4a = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = 5 + -7 -4a = 5 + -7 Combine like terms: 5 + -7 = -2 -4a = -2 Divide each side by '-4'. a = 0.5 Simplifying a = 0.5
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