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Simplifying 8a + 34 + -2a + 12 + -51 = 10a + -42 + a + -7a + 35 Reorder the terms: 34 + 12 + -51 + 8a + -2a = 10a + -42 + a + -7a + 35 Combine like terms: 34 + 12 = 46 46 + -51 + 8a + -2a = 10a + -42 + a + -7a + 35 Combine like terms: 46 + -51 = -5 -5 + 8a + -2a = 10a + -42 + a + -7a + 35 Combine like terms: 8a + -2a = 6a -5 + 6a = 10a + -42 + a + -7a + 35 Reorder the terms: -5 + 6a = -42 + 35 + 10a + a + -7a Combine like terms: -42 + 35 = -7 -5 + 6a = -7 + 10a + a + -7a Combine like terms: 10a + a = 11a -5 + 6a = -7 + 11a + -7a Combine like terms: 11a + -7a = 4a -5 + 6a = -7 + 4a Solving -5 + 6a = -7 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -5 + 6a + -4a = -7 + 4a + -4a Combine like terms: 6a + -4a = 2a -5 + 2a = -7 + 4a + -4a Combine like terms: 4a + -4a = 0 -5 + 2a = -7 + 0 -5 + 2a = -7 Add '5' to each side of the equation. -5 + 5 + 2a = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 2a = -7 + 5 2a = -7 + 5 Combine like terms: -7 + 5 = -2 2a = -2 Divide each side by '2'. a = -1 Simplifying a = -1
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