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Simplifying 3a + -7 = 2a + 5 + -6 Reorder the terms: -7 + 3a = 2a + 5 + -6 Reorder the terms: -7 + 3a = 5 + -6 + 2a Combine like terms: 5 + -6 = -1 -7 + 3a = -1 + 2a Solving -7 + 3a = -1 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -7 + 3a + -2a = -1 + 2a + -2a Combine like terms: 3a + -2a = 1a -7 + 1a = -1 + 2a + -2a Combine like terms: 2a + -2a = 0 -7 + 1a = -1 + 0 -7 + 1a = -1 Add '7' to each side of the equation. -7 + 7 + 1a = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 1a = -1 + 7 1a = -1 + 7 Combine like terms: -1 + 7 = 6 1a = 6 Divide each side by '1'. a = 6 Simplifying a = 6
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