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Simplifying 22 = -5(4a + 6) + -8(1 + 5a) Reorder the terms: 22 = -5(6 + 4a) + -8(1 + 5a) 22 = (6 * -5 + 4a * -5) + -8(1 + 5a) 22 = (-30 + -20a) + -8(1 + 5a) 22 = -30 + -20a + (1 * -8 + 5a * -8) 22 = -30 + -20a + (-8 + -40a) Reorder the terms: 22 = -30 + -8 + -20a + -40a Combine like terms: -30 + -8 = -38 22 = -38 + -20a + -40a Combine like terms: -20a + -40a = -60a 22 = -38 + -60a Solving 22 = -38 + -60a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '60a' to each side of the equation. 22 + 60a = -38 + -60a + 60a Combine like terms: -60a + 60a = 0 22 + 60a = -38 + 0 22 + 60a = -38 Add '-22' to each side of the equation. 22 + -22 + 60a = -38 + -22 Combine like terms: 22 + -22 = 0 0 + 60a = -38 + -22 60a = -38 + -22 Combine like terms: -38 + -22 = -60 60a = -60 Divide each side by '60'. a = -1 Simplifying a = -1
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