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Simplifying 35 + -7a = -7(6a + 5) Reorder the terms: 35 + -7a = -7(5 + 6a) 35 + -7a = (5 * -7 + 6a * -7) 35 + -7a = (-35 + -42a) Solving 35 + -7a = -35 + -42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42a' to each side of the equation. 35 + -7a + 42a = -35 + -42a + 42a Combine like terms: -7a + 42a = 35a 35 + 35a = -35 + -42a + 42a Combine like terms: -42a + 42a = 0 35 + 35a = -35 + 0 35 + 35a = -35 Add '-35' to each side of the equation. 35 + -35 + 35a = -35 + -35 Combine like terms: 35 + -35 = 0 0 + 35a = -35 + -35 35a = -35 + -35 Combine like terms: -35 + -35 = -70 35a = -70 Divide each side by '35'. a = -2 Simplifying a = -2
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