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Simplifying 34 = (a + -2) + (a + -4) Reorder the terms: 34 = (-2 + a) + (a + -4) Remove parenthesis around (-2 + a) 34 = -2 + a + (a + -4) Reorder the terms: 34 = -2 + a + (-4 + a) Remove parenthesis around (-4 + a) 34 = -2 + a + -4 + a Reorder the terms: 34 = -2 + -4 + a + a Combine like terms: -2 + -4 = -6 34 = -6 + a + a Combine like terms: a + a = 2a 34 = -6 + 2a Solving 34 = -6 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 34 + -2a = -6 + 2a + -2a Combine like terms: 2a + -2a = 0 34 + -2a = -6 + 0 34 + -2a = -6 Add '-34' to each side of the equation. 34 + -34 + -2a = -6 + -34 Combine like terms: 34 + -34 = 0 0 + -2a = -6 + -34 -2a = -6 + -34 Combine like terms: -6 + -34 = -40 -2a = -40 Divide each side by '-2'. a = 20 Simplifying a = 20
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