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Simplifying 7a + 2b + 5 + -5a + -1(-2) = 0 Multiply -1 * -2 7a + 2b + 5 + -5a + 2 = 0 Reorder the terms: 5 + 2 + 7a + -5a + 2b = 0 Combine like terms: 5 + 2 = 7 7 + 7a + -5a + 2b = 0 Combine like terms: 7a + -5a = 2a 7 + 2a + 2b = 0 Solving 7 + 2a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 2a + -7 + 2b = 0 + -7 Reorder the terms: 7 + -7 + 2a + 2b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2a + 2b = 0 + -7 2a + 2b = 0 + -7 Combine like terms: 0 + -7 = -7 2a + 2b = -7 Add '-2b' to each side of the equation. 2a + 2b + -2b = -7 + -2b Combine like terms: 2b + -2b = 0 2a + 0 = -7 + -2b 2a = -7 + -2b Divide each side by '2'. a = -3.5 + -1b Simplifying a = -3.5 + -1b
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