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Simplifying 8a + -7a = 2(1 + -4a) + -8(a + -4) Combine like terms: 8a + -7a = 1a 1a = 2(1 + -4a) + -8(a + -4) 1a = (1 * 2 + -4a * 2) + -8(a + -4) 1a = (2 + -8a) + -8(a + -4) Reorder the terms: 1a = 2 + -8a + -8(-4 + a) 1a = 2 + -8a + (-4 * -8 + a * -8) 1a = 2 + -8a + (32 + -8a) Reorder the terms: 1a = 2 + 32 + -8a + -8a Combine like terms: 2 + 32 = 34 1a = 34 + -8a + -8a Combine like terms: -8a + -8a = -16a 1a = 34 + -16a Solving 1a = 34 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. 1a + 16a = 34 + -16a + 16a Combine like terms: 1a + 16a = 17a 17a = 34 + -16a + 16a Combine like terms: -16a + 16a = 0 17a = 34 + 0 17a = 34 Divide each side by '17'. a = 2 Simplifying a = 2
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