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Simplifying 1 + 8a + -8a + 9 = 6(-1 + -3a) + 8(a + -8) Reorder the terms: 1 + 9 + 8a + -8a = 6(-1 + -3a) + 8(a + -8) Combine like terms: 1 + 9 = 10 10 + 8a + -8a = 6(-1 + -3a) + 8(a + -8) Combine like terms: 8a + -8a = 0 10 + 0 = 6(-1 + -3a) + 8(a + -8) 10 = 6(-1 + -3a) + 8(a + -8) 10 = (-1 * 6 + -3a * 6) + 8(a + -8) 10 = (-6 + -18a) + 8(a + -8) Reorder the terms: 10 = -6 + -18a + 8(-8 + a) 10 = -6 + -18a + (-8 * 8 + a * 8) 10 = -6 + -18a + (-64 + 8a) Reorder the terms: 10 = -6 + -64 + -18a + 8a Combine like terms: -6 + -64 = -70 10 = -70 + -18a + 8a Combine like terms: -18a + 8a = -10a 10 = -70 + -10a Solving 10 = -70 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 10 + 10a = -70 + -10a + 10a Combine like terms: -10a + 10a = 0 10 + 10a = -70 + 0 10 + 10a = -70 Add '-10' to each side of the equation. 10 + -10 + 10a = -70 + -10 Combine like terms: 10 + -10 = 0 0 + 10a = -70 + -10 10a = -70 + -10 Combine like terms: -70 + -10 = -80 10a = -80 Divide each side by '10'. a = -8 Simplifying a = -8
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