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Simplifying a + -1 = 5a + 3a + -8 Reorder the terms: -1 + a = 5a + 3a + -8 Reorder the terms: -1 + a = -8 + 5a + 3a Combine like terms: 5a + 3a = 8a -1 + a = -8 + 8a Solving -1 + a = -8 + 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. -1 + a + -8a = -8 + 8a + -8a Combine like terms: a + -8a = -7a -1 + -7a = -8 + 8a + -8a Combine like terms: 8a + -8a = 0 -1 + -7a = -8 + 0 -1 + -7a = -8 Add '1' to each side of the equation. -1 + 1 + -7a = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -7a = -8 + 1 -7a = -8 + 1 Combine like terms: -8 + 1 = -7 -7a = -7 Divide each side by '-7'. a = 1 Simplifying a = 1
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