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