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Simplifying 100 = 5(6 + -7a) 100 = (6 * 5 + -7a * 5) 100 = (30 + -35a) Solving 100 = 30 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. 100 + 35a = 30 + -35a + 35a Combine like terms: -35a + 35a = 0 100 + 35a = 30 + 0 100 + 35a = 30 Add '-100' to each side of the equation. 100 + -100 + 35a = 30 + -100 Combine like terms: 100 + -100 = 0 0 + 35a = 30 + -100 35a = 30 + -100 Combine like terms: 30 + -100 = -70 35a = -70 Divide each side by '35'. a = -2 Simplifying a = -2
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