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Simplifying 10 = 4(3a + w) 10 = (3a * 4 + w * 4) 10 = (12a + 4w) Solving 10 = 12a + 4w Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 10 + -12a = 12a + -12a + 4w Combine like terms: 12a + -12a = 0 10 + -12a = 0 + 4w 10 + -12a = 4w Add '-10' to each side of the equation. 10 + -10 + -12a = -10 + 4w Combine like terms: 10 + -10 = 0 0 + -12a = -10 + 4w -12a = -10 + 4w Divide each side by '-12'. a = 0.8333333333 + -0.3333333333w Simplifying a = 0.8333333333 + -0.3333333333w
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