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Simplifying 71 = -5 + -4(8a + -3) Reorder the terms: 71 = -5 + -4(-3 + 8a) 71 = -5 + (-3 * -4 + 8a * -4) 71 = -5 + (12 + -32a) Combine like terms: -5 + 12 = 7 71 = 7 + -32a Solving 71 = 7 + -32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32a' to each side of the equation. 71 + 32a = 7 + -32a + 32a Combine like terms: -32a + 32a = 0 71 + 32a = 7 + 0 71 + 32a = 7 Add '-71' to each side of the equation. 71 + -71 + 32a = 7 + -71 Combine like terms: 71 + -71 = 0 0 + 32a = 7 + -71 32a = 7 + -71 Combine like terms: 7 + -71 = -64 32a = -64 Divide each side by '32'. a = -2 Simplifying a = -2
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