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Simplifying (3a + -7) = (4a + 5) Reorder the terms: (-7 + 3a) = (4a + 5) Remove parenthesis around (-7 + 3a) -7 + 3a = (4a + 5) Reorder the terms: -7 + 3a = (5 + 4a) Remove parenthesis around (5 + 4a) -7 + 3a = 5 + 4a Solving -7 + 3a = 5 + 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. -7 + 3a + -4a = 5 + 4a + -4a Combine like terms: 3a + -4a = -1a -7 + -1a = 5 + 4a + -4a Combine like terms: 4a + -4a = 0 -7 + -1a = 5 + 0 -7 + -1a = 5 Add '7' to each side of the equation. -7 + 7 + -1a = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -1a = 5 + 7 -1a = 5 + 7 Combine like terms: 5 + 7 = 12 -1a = 12 Divide each side by '-1'. a = -12 Simplifying a = -12
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