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Simplifying (a + 40) = (2a + -10) Reorder the terms: (40 + a) = (2a + -10) Remove parenthesis around (40 + a) 40 + a = (2a + -10) Reorder the terms: 40 + a = (-10 + 2a) Remove parenthesis around (-10 + 2a) 40 + a = -10 + 2a Solving 40 + a = -10 + 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. 40 + a + -2a = -10 + 2a + -2a Combine like terms: a + -2a = -1a 40 + -1a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 40 + -1a = -10 + 0 40 + -1a = -10 Add '-40' to each side of the equation. 40 + -40 + -1a = -10 + -40 Combine like terms: 40 + -40 = 0 0 + -1a = -10 + -40 -1a = -10 + -40 Combine like terms: -10 + -40 = -50 -1a = -50 Divide each side by '-1'. a = 50 Simplifying a = 50
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