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Simplifying -7 + -1a = a + 3 Reorder the terms: -7 + -1a = 3 + a Solving -7 + -1a = 3 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -7 + -1a + -1a = 3 + a + -1a Combine like terms: -1a + -1a = -2a -7 + -2a = 3 + a + -1a Combine like terms: a + -1a = 0 -7 + -2a = 3 + 0 -7 + -2a = 3 Add '7' to each side of the equation. -7 + 7 + -2a = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -2a = 3 + 7 -2a = 3 + 7 Combine like terms: 3 + 7 = 10 -2a = 10 Divide each side by '-2'. a = -5 Simplifying a = -5
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