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Simplifying a + -4 + 6a = 1 + 8a + -8 + 6 Reorder the terms: -4 + a + 6a = 1 + 8a + -8 + 6 Combine like terms: a + 6a = 7a -4 + 7a = 1 + 8a + -8 + 6 Reorder the terms: -4 + 7a = 1 + -8 + 6 + 8a Combine like terms: 1 + -8 = -7 -4 + 7a = -7 + 6 + 8a Combine like terms: -7 + 6 = -1 -4 + 7a = -1 + 8a Solving -4 + 7a = -1 + 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. -4 + 7a + -8a = -1 + 8a + -8a Combine like terms: 7a + -8a = -1a -4 + -1a = -1 + 8a + -8a Combine like terms: 8a + -8a = 0 -4 + -1a = -1 + 0 -4 + -1a = -1 Add '4' to each side of the equation. -4 + 4 + -1a = -1 + 4 Combine like terms: -4 + 4 = 0 0 + -1a = -1 + 4 -1a = -1 + 4 Combine like terms: -1 + 4 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3
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