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Simplifying 270 = 7a + 6(-2 + -9a) 270 = 7a + (-2 * 6 + -9a * 6) 270 = 7a + (-12 + -54a) Reorder the terms: 270 = -12 + 7a + -54a Combine like terms: 7a + -54a = -47a 270 = -12 + -47a Solving 270 = -12 + -47a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '47a' to each side of the equation. 270 + 47a = -12 + -47a + 47a Combine like terms: -47a + 47a = 0 270 + 47a = -12 + 0 270 + 47a = -12 Add '-270' to each side of the equation. 270 + -270 + 47a = -12 + -270 Combine like terms: 270 + -270 = 0 0 + 47a = -12 + -270 47a = -12 + -270 Combine like terms: -12 + -270 = -282 47a = -282 Divide each side by '47'. a = -6 Simplifying a = -6
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