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Simplifying 35 + 2a = -7(7 + -2a) 35 + 2a = (7 * -7 + -2a * -7) 35 + 2a = (-49 + 14a) Solving 35 + 2a = -49 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 35 + 2a + -14a = -49 + 14a + -14a Combine like terms: 2a + -14a = -12a 35 + -12a = -49 + 14a + -14a Combine like terms: 14a + -14a = 0 35 + -12a = -49 + 0 35 + -12a = -49 Add '-35' to each side of the equation. 35 + -35 + -12a = -49 + -35 Combine like terms: 35 + -35 = 0 0 + -12a = -49 + -35 -12a = -49 + -35 Combine like terms: -49 + -35 = -84 -12a = -84 Divide each side by '-12'. a = 7 Simplifying a = 7
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