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Simplifying 7(b + -2a) = 5(-3 + 1) Reorder the terms: 7(-2a + b) = 5(-3 + 1) (-2a * 7 + b * 7) = 5(-3 + 1) (-14a + 7b) = 5(-3 + 1) Combine like terms: -3 + 1 = -2 -14a + 7b = 5(-2) Multiply 5 * -2 -14a + 7b = -10 Solving -14a + 7b = -10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. -14a + 7b + -7b = -10 + -7b Combine like terms: 7b + -7b = 0 -14a + 0 = -10 + -7b -14a = -10 + -7b Divide each side by '-14'. a = 0.7142857143 + 0.5b Simplifying a = 0.7142857143 + 0.5b
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