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Simplifying a + 5 = 4a + -7 Reorder the terms: 5 + a = 4a + -7 Reorder the terms: 5 + a = -7 + 4a Solving 5 + a = -7 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 5 + a + -4a = -7 + 4a + -4a Combine like terms: a + -4a = -3a 5 + -3a = -7 + 4a + -4a Combine like terms: 4a + -4a = 0 5 + -3a = -7 + 0 5 + -3a = -7 Add '-5' to each side of the equation. 5 + -5 + -3a = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -3a = -7 + -5 -3a = -7 + -5 Combine like terms: -7 + -5 = -12 -3a = -12 Divide each side by '-3'. a = 4 Simplifying a = 4
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