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Simplifying -6 + 5a + 2a = -7a + 7 + 1 Combine like terms: 5a + 2a = 7a -6 + 7a = -7a + 7 + 1 Reorder the terms: -6 + 7a = 7 + 1 + -7a Combine like terms: 7 + 1 = 8 -6 + 7a = 8 + -7a Solving -6 + 7a = 8 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -6 + 7a + 7a = 8 + -7a + 7a Combine like terms: 7a + 7a = 14a -6 + 14a = 8 + -7a + 7a Combine like terms: -7a + 7a = 0 -6 + 14a = 8 + 0 -6 + 14a = 8 Add '6' to each side of the equation. -6 + 6 + 14a = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 14a = 8 + 6 14a = 8 + 6 Combine like terms: 8 + 6 = 14 14a = 14 Divide each side by '14'. a = 1 Simplifying a = 1
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