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Simplifying 5a + 6b + -7 = 4a + 7b2 + -7 Reorder the terms: -7 + 5a + 6b = 4a + 7b2 + -7 Reorder the terms: -7 + 5a + 6b = -7 + 4a + 7b2 Add '7' to each side of the equation. -7 + 5a + 7 + 6b = -7 + 4a + 7 + 7b2 Reorder the terms: -7 + 7 + 5a + 6b = -7 + 4a + 7 + 7b2 Combine like terms: -7 + 7 = 0 0 + 5a + 6b = -7 + 4a + 7 + 7b2 5a + 6b = -7 + 4a + 7 + 7b2 Reorder the terms: 5a + 6b = -7 + 7 + 4a + 7b2 Combine like terms: -7 + 7 = 0 5a + 6b = 0 + 4a + 7b2 5a + 6b = 4a + 7b2 Solving 5a + 6b = 4a + 7b2 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. 5a + -4a + 6b = 4a + -4a + 7b2 Combine like terms: 5a + -4a = 1a 1a + 6b = 4a + -4a + 7b2 Combine like terms: 4a + -4a = 0 1a + 6b = 0 + 7b2 1a + 6b = 7b2 Add '-6b' to each side of the equation. 1a + 6b + -6b = -6b + 7b2 Combine like terms: 6b + -6b = 0 1a + 0 = -6b + 7b2 1a = -6b + 7b2 Divide each side by '1'. a = -6b + 7b2 Simplifying a = -6b + 7b2
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