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Simplifying 35 + -7a = -7(1 + 7a) 35 + -7a = (1 * -7 + 7a * -7) 35 + -7a = (-7 + -49a) Solving 35 + -7a = -7 + -49a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '49a' to each side of the equation. 35 + -7a + 49a = -7 + -49a + 49a Combine like terms: -7a + 49a = 42a 35 + 42a = -7 + -49a + 49a Combine like terms: -49a + 49a = 0 35 + 42a = -7 + 0 35 + 42a = -7 Add '-35' to each side of the equation. 35 + -35 + 42a = -7 + -35 Combine like terms: 35 + -35 = 0 0 + 42a = -7 + -35 42a = -7 + -35 Combine like terms: -7 + -35 = -42 42a = -42 Divide each side by '42'. a = -1 Simplifying a = -1
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