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Simplifying 100 = 4(1 + -3a) 100 = (1 * 4 + -3a * 4) 100 = (4 + -12a) Solving 100 = 4 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 100 + 12a = 4 + -12a + 12a Combine like terms: -12a + 12a = 0 100 + 12a = 4 + 0 100 + 12a = 4 Add '-100' to each side of the equation. 100 + -100 + 12a = 4 + -100 Combine like terms: 100 + -100 = 0 0 + 12a = 4 + -100 12a = 4 + -100 Combine like terms: 4 + -100 = -96 12a = -96 Divide each side by '12'. a = -8 Simplifying a = -8
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