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Simplifying 3aw + 1 = aw + -7 Reorder the terms: 1 + 3aw = aw + -7 Reorder the terms: 1 + 3aw = -7 + aw Solving 1 + 3aw = -7 + aw Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1aw' to each side of the equation. 1 + 3aw + -1aw = -7 + aw + -1aw Combine like terms: 3aw + -1aw = 2aw 1 + 2aw = -7 + aw + -1aw Combine like terms: aw + -1aw = 0 1 + 2aw = -7 + 0 1 + 2aw = -7 Add '-1' to each side of the equation. 1 + -1 + 2aw = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 2aw = -7 + -1 2aw = -7 + -1 Combine like terms: -7 + -1 = -8 2aw = -8 Divide each side by '2w'. a = -4w-1 Simplifying a = -4w-1
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