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Simplifying 5 + -3a + 4 = a + -7 Reorder the terms: 5 + 4 + -3a = a + -7 Combine like terms: 5 + 4 = 9 9 + -3a = a + -7 Reorder the terms: 9 + -3a = -7 + a Solving 9 + -3a = -7 + 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. 9 + -3a + -1a = -7 + a + -1a Combine like terms: -3a + -1a = -4a 9 + -4a = -7 + a + -1a Combine like terms: a + -1a = 0 9 + -4a = -7 + 0 9 + -4a = -7 Add '-9' to each side of the equation. 9 + -9 + -4a = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -4a = -7 + -9 -4a = -7 + -9 Combine like terms: -7 + -9 = -16 -4a = -16 Divide each side by '-4'. a = 4 Simplifying a = 4
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