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Simplifying 2a + 100 = -4 + -1(a + 52) Reorder the terms: 100 + 2a = -4 + -1(a + 52) Reorder the terms: 100 + 2a = -4 + -1(52 + a) 100 + 2a = -4 + (52 * -1 + a * -1) 100 + 2a = -4 + (-52 + -1a) Combine like terms: -4 + -52 = -56 100 + 2a = -56 + -1a Solving 100 + 2a = -56 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 100 + 2a + a = -56 + -1a + a Combine like terms: 2a + a = 3a 100 + 3a = -56 + -1a + a Combine like terms: -1a + a = 0 100 + 3a = -56 + 0 100 + 3a = -56 Add '-100' to each side of the equation. 100 + -100 + 3a = -56 + -100 Combine like terms: 100 + -100 = 0 0 + 3a = -56 + -100 3a = -56 + -100 Combine like terms: -56 + -100 = -156 3a = -156 Divide each side by '3'. a = -52 Simplifying a = -52
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