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