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Simplifying -8 + -12a + 6b + 7a + -7 + -7b = 0 Reorder the terms: -8 + -7 + -12a + 7a + 6b + -7b = 0 Combine like terms: -8 + -7 = -15 -15 + -12a + 7a + 6b + -7b = 0 Combine like terms: -12a + 7a = -5a -15 + -5a + 6b + -7b = 0 Combine like terms: 6b + -7b = -1b -15 + -5a + -1b = 0 Solving -15 + -5a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -5a + 15 + -1b = 0 + 15 Reorder the terms: -15 + 15 + -5a + -1b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -5a + -1b = 0 + 15 -5a + -1b = 0 + 15 Combine like terms: 0 + 15 = 15 -5a + -1b = 15 Add 'b' to each side of the equation. -5a + -1b + b = 15 + b Combine like terms: -1b + b = 0 -5a + 0 = 15 + b -5a = 15 + b Divide each side by '-5'. a = -3 + -0.2b Simplifying a = -3 + -0.2b
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