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Simplifying -5 + -1(3a + b) + (2a + -7b) = 0 -5 + (3a * -1 + b * -1) + (2a + -7b) = 0 -5 + (-3a + -1b) + (2a + -7b) = 0 Remove parenthesis around (2a + -7b) -5 + -3a + -1b + 2a + -7b = 0 Reorder the terms: -5 + -3a + 2a + -1b + -7b = 0 Combine like terms: -3a + 2a = -1a -5 + -1a + -1b + -7b = 0 Combine like terms: -1b + -7b = -8b -5 + -1a + -8b = 0 Solving -5 + -1a + -8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1a + 5 + -8b = 0 + 5 Reorder the terms: -5 + 5 + -1a + -8b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1a + -8b = 0 + 5 -1a + -8b = 0 + 5 Combine like terms: 0 + 5 = 5 -1a + -8b = 5 Add '8b' to each side of the equation. -1a + -8b + 8b = 5 + 8b Combine like terms: -8b + 8b = 0 -1a + 0 = 5 + 8b -1a = 5 + 8b Divide each side by '-1'. a = -5 + -8b Simplifying a = -5 + -8b
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