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Simplifying a + -38 = 3a + -96 Reorder the terms: -38 + a = 3a + -96 Reorder the terms: -38 + a = -96 + 3a Solving -38 + a = -96 + 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. -38 + a + -3a = -96 + 3a + -3a Combine like terms: a + -3a = -2a -38 + -2a = -96 + 3a + -3a Combine like terms: 3a + -3a = 0 -38 + -2a = -96 + 0 -38 + -2a = -96 Add '38' to each side of the equation. -38 + 38 + -2a = -96 + 38 Combine like terms: -38 + 38 = 0 0 + -2a = -96 + 38 -2a = -96 + 38 Combine like terms: -96 + 38 = -58 -2a = -58 Divide each side by '-2'. a = 29 Simplifying a = 29
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