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Simplifying -74 + -4a + 10b + -76 + -1b + -6a = 0 Reorder the terms: -74 + -76 + -4a + -6a + 10b + -1b = 0 Combine like terms: -74 + -76 = -150 -150 + -4a + -6a + 10b + -1b = 0 Combine like terms: -4a + -6a = -10a -150 + -10a + 10b + -1b = 0 Combine like terms: 10b + -1b = 9b -150 + -10a + 9b = 0 Solving -150 + -10a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '150' to each side of the equation. -150 + -10a + 150 + 9b = 0 + 150 Reorder the terms: -150 + 150 + -10a + 9b = 0 + 150 Combine like terms: -150 + 150 = 0 0 + -10a + 9b = 0 + 150 -10a + 9b = 0 + 150 Combine like terms: 0 + 150 = 150 -10a + 9b = 150 Add '-9b' to each side of the equation. -10a + 9b + -9b = 150 + -9b Combine like terms: 9b + -9b = 0 -10a + 0 = 150 + -9b -10a = 150 + -9b Divide each side by '-10'. a = -15 + 0.9b Simplifying a = -15 + 0.9b
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