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Simplifying 9 + -3(a + b) = 7 + a 9 + (a * -3 + b * -3) = 7 + a 9 + (-3a + -3b) = 7 + a Solving 9 + -3a + -3b = 7 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 9 + -3a + -1a + -3b = 7 + a + -1a Combine like terms: -3a + -1a = -4a 9 + -4a + -3b = 7 + a + -1a Combine like terms: a + -1a = 0 9 + -4a + -3b = 7 + 0 9 + -4a + -3b = 7 Add '-9' to each side of the equation. 9 + -4a + -9 + -3b = 7 + -9 Reorder the terms: 9 + -9 + -4a + -3b = 7 + -9 Combine like terms: 9 + -9 = 0 0 + -4a + -3b = 7 + -9 -4a + -3b = 7 + -9 Combine like terms: 7 + -9 = -2 -4a + -3b = -2 Add '3b' to each side of the equation. -4a + -3b + 3b = -2 + 3b Combine like terms: -3b + 3b = 0 -4a + 0 = -2 + 3b -4a = -2 + 3b Divide each side by '-4'. a = 0.5 + -0.75b Simplifying a = 0.5 + -0.75b
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