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Simplifying 3a + 38 = 4(a + 8) Reorder the terms: 38 + 3a = 4(a + 8) Reorder the terms: 38 + 3a = 4(8 + a) 38 + 3a = (8 * 4 + a * 4) 38 + 3a = (32 + 4a) Solving 38 + 3a = 32 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 38 + 3a + -4a = 32 + 4a + -4a Combine like terms: 3a + -4a = -1a 38 + -1a = 32 + 4a + -4a Combine like terms: 4a + -4a = 0 38 + -1a = 32 + 0 38 + -1a = 32 Add '-38' to each side of the equation. 38 + -38 + -1a = 32 + -38 Combine like terms: 38 + -38 = 0 0 + -1a = 32 + -38 -1a = 32 + -38 Combine like terms: 32 + -38 = -6 -1a = -6 Divide each side by '-1'. a = 6 Simplifying a = 6
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