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Simplifying 45 = -3(8 + -1a) + -8(5a + -4) 45 = (8 * -3 + -1a * -3) + -8(5a + -4) 45 = (-24 + 3a) + -8(5a + -4) Reorder the terms: 45 = -24 + 3a + -8(-4 + 5a) 45 = -24 + 3a + (-4 * -8 + 5a * -8) 45 = -24 + 3a + (32 + -40a) Reorder the terms: 45 = -24 + 32 + 3a + -40a Combine like terms: -24 + 32 = 8 45 = 8 + 3a + -40a Combine like terms: 3a + -40a = -37a 45 = 8 + -37a Solving 45 = 8 + -37a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '37a' to each side of the equation. 45 + 37a = 8 + -37a + 37a Combine like terms: -37a + 37a = 0 45 + 37a = 8 + 0 45 + 37a = 8 Add '-45' to each side of the equation. 45 + -45 + 37a = 8 + -45 Combine like terms: 45 + -45 = 0 0 + 37a = 8 + -45 37a = 8 + -45 Combine like terms: 8 + -45 = -37 37a = -37 Divide each side by '37'. a = -1 Simplifying a = -1
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