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Simplifying 6(9a + -7) = -31 + -2a Reorder the terms: 6(-7 + 9a) = -31 + -2a (-7 * 6 + 9a * 6) = -31 + -2a (-42 + 54a) = -31 + -2a Solving -42 + 54a = -31 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -42 + 54a + 2a = -31 + -2a + 2a Combine like terms: 54a + 2a = 56a -42 + 56a = -31 + -2a + 2a Combine like terms: -2a + 2a = 0 -42 + 56a = -31 + 0 -42 + 56a = -31 Add '42' to each side of the equation. -42 + 42 + 56a = -31 + 42 Combine like terms: -42 + 42 = 0 0 + 56a = -31 + 42 56a = -31 + 42 Combine like terms: -31 + 42 = 11 56a = 11 Divide each side by '56'. a = 0.1964285714 Simplifying a = 0.1964285714
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