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Simplifying 30(12 + 25a) = -51 + 140a (12 * 30 + 25a * 30) = -51 + 140a (360 + 750a) = -51 + 140a Solving 360 + 750a = -51 + 140a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-140a' to each side of the equation. 360 + 750a + -140a = -51 + 140a + -140a Combine like terms: 750a + -140a = 610a 360 + 610a = -51 + 140a + -140a Combine like terms: 140a + -140a = 0 360 + 610a = -51 + 0 360 + 610a = -51 Add '-360' to each side of the equation. 360 + -360 + 610a = -51 + -360 Combine like terms: 360 + -360 = 0 0 + 610a = -51 + -360 610a = -51 + -360 Combine like terms: -51 + -360 = -411 610a = -411 Divide each side by '610'. a = -0.6737704918 Simplifying a = -0.6737704918
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