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Simplifying 270 = 7x + 6(-2 + -9a) 270 = 7x + (-2 * 6 + -9a * 6) 270 = 7x + (-12 + -54a) Reorder the terms: 270 = -12 + -54a + 7x Solving 270 = -12 + -54a + 7x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '54a' to each side of the equation. 270 + 54a = -12 + -54a + 54a + 7x Combine like terms: -54a + 54a = 0 270 + 54a = -12 + 0 + 7x 270 + 54a = -12 + 7x Add '-270' to each side of the equation. 270 + -270 + 54a = -12 + -270 + 7x Combine like terms: 270 + -270 = 0 0 + 54a = -12 + -270 + 7x 54a = -12 + -270 + 7x Combine like terms: -12 + -270 = -282 54a = -282 + 7x Divide each side by '54'. a = -5.222222222 + 0.1296296296x Simplifying a = -5.222222222 + 0.1296296296x
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