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Simplifying 5(-10a + 8b) = a + b (-10a * 5 + 8b * 5) = a + b (-50a + 40b) = a + b Solving -50a + 40b = a + b 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. -50a + -1a + 40b = a + -1a + b Combine like terms: -50a + -1a = -51a -51a + 40b = a + -1a + b Combine like terms: a + -1a = 0 -51a + 40b = 0 + b -51a + 40b = b Add '-40b' to each side of the equation. -51a + 40b + -40b = b + -40b Combine like terms: 40b + -40b = 0 -51a + 0 = b + -40b -51a = b + -40b Combine like terms: b + -40b = -39b -51a = -39b Divide each side by '-51'. a = 0.7647058824b Simplifying a = 0.7647058824b
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