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Simplifying -1 + -7(9 + 7a) = -9(6a + -4) -1 + (9 * -7 + 7a * -7) = -9(6a + -4) -1 + (-63 + -49a) = -9(6a + -4) Combine like terms: -1 + -63 = -64 -64 + -49a = -9(6a + -4) Reorder the terms: -64 + -49a = -9(-4 + 6a) -64 + -49a = (-4 * -9 + 6a * -9) -64 + -49a = (36 + -54a) Solving -64 + -49a = 36 + -54a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '54a' to each side of the equation. -64 + -49a + 54a = 36 + -54a + 54a Combine like terms: -49a + 54a = 5a -64 + 5a = 36 + -54a + 54a Combine like terms: -54a + 54a = 0 -64 + 5a = 36 + 0 -64 + 5a = 36 Add '64' to each side of the equation. -64 + 64 + 5a = 36 + 64 Combine like terms: -64 + 64 = 0 0 + 5a = 36 + 64 5a = 36 + 64 Combine like terms: 36 + 64 = 100 5a = 100 Divide each side by '5'. a = 20 Simplifying a = 20
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