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Simplifying a + 100 = 3a + -4 Reorder the terms: 100 + a = 3a + -4 Reorder the terms: 100 + a = -4 + 3a Solving 100 + a = -4 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 100 + a + -3a = -4 + 3a + -3a Combine like terms: a + -3a = -2a 100 + -2a = -4 + 3a + -3a Combine like terms: 3a + -3a = 0 100 + -2a = -4 + 0 100 + -2a = -4 Add '-100' to each side of the equation. 100 + -100 + -2a = -4 + -100 Combine like terms: 100 + -100 = 0 0 + -2a = -4 + -100 -2a = -4 + -100 Combine like terms: -4 + -100 = -104 -2a = -104 Divide each side by '-2'. a = 52 Simplifying a = 52
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