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Simplifying -1a + 4a + -9 = 7(x + -4) Reorder the terms: -9 + -1a + 4a = 7(x + -4) Combine like terms: -1a + 4a = 3a -9 + 3a = 7(x + -4) Reorder the terms: -9 + 3a = 7(-4 + x) -9 + 3a = (-4 * 7 + x * 7) -9 + 3a = (-28 + 7x) Solving -9 + 3a = -28 + 7x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 3a = -28 + 9 + 7x Combine like terms: -9 + 9 = 0 0 + 3a = -28 + 9 + 7x 3a = -28 + 9 + 7x Combine like terms: -28 + 9 = -19 3a = -19 + 7x Divide each side by '3'. a = -6.333333333 + 2.333333333x Simplifying a = -6.333333333 + 2.333333333x
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