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Simplifying 5a + -2(6 + -3a) = -89 5a + (6 * -2 + -3a * -2) = -89 5a + (-12 + 6a) = -89 Reorder the terms: -12 + 5a + 6a = -89 Combine like terms: 5a + 6a = 11a -12 + 11a = -89 Solving -12 + 11a = -89 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 11a = -89 + 12 Combine like terms: -12 + 12 = 0 0 + 11a = -89 + 12 11a = -89 + 12 Combine like terms: -89 + 12 = -77 11a = -77 Divide each side by '11'. a = -7 Simplifying a = -7
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