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Simplifying -9 + -7a = 4a + 4(1 + -6a) -9 + -7a = 4a + (1 * 4 + -6a * 4) -9 + -7a = 4a + (4 + -24a) Reorder the terms: -9 + -7a = 4 + 4a + -24a Combine like terms: 4a + -24a = -20a -9 + -7a = 4 + -20a Solving -9 + -7a = 4 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. -9 + -7a + 20a = 4 + -20a + 20a Combine like terms: -7a + 20a = 13a -9 + 13a = 4 + -20a + 20a Combine like terms: -20a + 20a = 0 -9 + 13a = 4 + 0 -9 + 13a = 4 Add '9' to each side of the equation. -9 + 9 + 13a = 4 + 9 Combine like terms: -9 + 9 = 0 0 + 13a = 4 + 9 13a = 4 + 9 Combine like terms: 4 + 9 = 13 13a = 13 Divide each side by '13'. a = 1 Simplifying a = 1
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