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Simplifying 5b + -3(a + b) = -3b + -1a 5b + (a * -3 + b * -3) = -3b + -1a 5b + (-3a + -3b) = -3b + -1a Reorder the terms: -3a + 5b + -3b = -3b + -1a Combine like terms: 5b + -3b = 2b -3a + 2b = -3b + -1a Reorder the terms: -3a + 2b = -1a + -3b Solving -3a + 2b = -1a + -3b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -3a + a + 2b = -1a + a + -3b Combine like terms: -3a + a = -2a -2a + 2b = -1a + a + -3b Combine like terms: -1a + a = 0 -2a + 2b = 0 + -3b -2a + 2b = -3b Add '-2b' to each side of the equation. -2a + 2b + -2b = -3b + -2b Combine like terms: 2b + -2b = 0 -2a + 0 = -3b + -2b -2a = -3b + -2b Combine like terms: -3b + -2b = -5b -2a = -5b Divide each side by '-2'. a = 2.5b Simplifying a = 2.5b
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