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Simplifying 9(a + -1) + 16 = 62 + -2a Reorder the terms: 9(-1 + a) + 16 = 62 + -2a (-1 * 9 + a * 9) + 16 = 62 + -2a (-9 + 9a) + 16 = 62 + -2a Reorder the terms: -9 + 16 + 9a = 62 + -2a Combine like terms: -9 + 16 = 7 7 + 9a = 62 + -2a Solving 7 + 9a = 62 + -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. 7 + 9a + 2a = 62 + -2a + 2a Combine like terms: 9a + 2a = 11a 7 + 11a = 62 + -2a + 2a Combine like terms: -2a + 2a = 0 7 + 11a = 62 + 0 7 + 11a = 62 Add '-7' to each side of the equation. 7 + -7 + 11a = 62 + -7 Combine like terms: 7 + -7 = 0 0 + 11a = 62 + -7 11a = 62 + -7 Combine like terms: 62 + -7 = 55 11a = 55 Divide each side by '11'. a = 5 Simplifying a = 5
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