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Simplifying 97 = 5 + -4(1 + 4a) 97 = 5 + (1 * -4 + 4a * -4) 97 = 5 + (-4 + -16a) Combine like terms: 5 + -4 = 1 97 = 1 + -16a Solving 97 = 1 + -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. 97 + 16a = 1 + -16a + 16a Combine like terms: -16a + 16a = 0 97 + 16a = 1 + 0 97 + 16a = 1 Add '-97' to each side of the equation. 97 + -97 + 16a = 1 + -97 Combine like terms: 97 + -97 = 0 0 + 16a = 1 + -97 16a = 1 + -97 Combine like terms: 1 + -97 = -96 16a = -96 Divide each side by '16'. a = -6 Simplifying a = -6
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