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Simplifying 4a + -7 + 6 = 2a + -7 Reorder the terms: -7 + 6 + 4a = 2a + -7 Combine like terms: -7 + 6 = -1 -1 + 4a = 2a + -7 Reorder the terms: -1 + 4a = -7 + 2a Solving -1 + 4a = -7 + 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. -1 + 4a + -2a = -7 + 2a + -2a Combine like terms: 4a + -2a = 2a -1 + 2a = -7 + 2a + -2a Combine like terms: 2a + -2a = 0 -1 + 2a = -7 + 0 -1 + 2a = -7 Add '1' to each side of the equation. -1 + 1 + 2a = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 2a = -7 + 1 2a = -7 + 1 Combine like terms: -7 + 1 = -6 2a = -6 Divide each side by '2'. a = -3 Simplifying a = -3
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