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