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Simplifying 120 + -5a + 7 = 8a + -16a + -35 Reorder the terms: 120 + 7 + -5a = 8a + -16a + -35 Combine like terms: 120 + 7 = 127 127 + -5a = 8a + -16a + -35 Reorder the terms: 127 + -5a = -35 + 8a + -16a Combine like terms: 8a + -16a = -8a 127 + -5a = -35 + -8a Solving 127 + -5a = -35 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 127 + -5a + 8a = -35 + -8a + 8a Combine like terms: -5a + 8a = 3a 127 + 3a = -35 + -8a + 8a Combine like terms: -8a + 8a = 0 127 + 3a = -35 + 0 127 + 3a = -35 Add '-127' to each side of the equation. 127 + -127 + 3a = -35 + -127 Combine like terms: 127 + -127 = 0 0 + 3a = -35 + -127 3a = -35 + -127 Combine like terms: -35 + -127 = -162 3a = -162 Divide each side by '3'. a = -54 Simplifying a = -54
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