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Simplifying 3(g + -1a) = 12(10 + g) Reorder the terms: 3(-1a + g) = 12(10 + g) (-1a * 3 + g * 3) = 12(10 + g) (-3a + 3g) = 12(10 + g) -3a + 3g = (10 * 12 + g * 12) -3a + 3g = (120 + 12g) Solving -3a + 3g = 120 + 12g Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3g' to each side of the equation. -3a + 3g + -3g = 120 + 12g + -3g Combine like terms: 3g + -3g = 0 -3a + 0 = 120 + 12g + -3g -3a = 120 + 12g + -3g Combine like terms: 12g + -3g = 9g -3a = 120 + 9g Divide each side by '-3'. a = -40 + -3g Simplifying a = -40 + -3g
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