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Simplifying a + -7 = -11 + -5a + 7a Reorder the terms: -7 + a = -11 + -5a + 7a Combine like terms: -5a + 7a = 2a -7 + a = -11 + 2a Solving -7 + a = -11 + 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 + a + -2a = -11 + 2a + -2a Combine like terms: a + -2a = -1a -7 + -1a = -11 + 2a + -2a Combine like terms: 2a + -2a = 0 -7 + -1a = -11 + 0 -7 + -1a = -11 Add '7' to each side of the equation. -7 + 7 + -1a = -11 + 7 Combine like terms: -7 + 7 = 0 0 + -1a = -11 + 7 -1a = -11 + 7 Combine like terms: -11 + 7 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4
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