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Simplifying 42a + -38.5 = 12.5 + 25a Reorder the terms: -38.5 + 42a = 12.5 + 25a Solving -38.5 + 42a = 12.5 + 25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25a' to each side of the equation. -38.5 + 42a + -25a = 12.5 + 25a + -25a Combine like terms: 42a + -25a = 17a -38.5 + 17a = 12.5 + 25a + -25a Combine like terms: 25a + -25a = 0 -38.5 + 17a = 12.5 + 0 -38.5 + 17a = 12.5 Add '38.5' to each side of the equation. -38.5 + 38.5 + 17a = 12.5 + 38.5 Combine like terms: -38.5 + 38.5 = 0.0 0.0 + 17a = 12.5 + 38.5 17a = 12.5 + 38.5 Combine like terms: 12.5 + 38.5 = 51 17a = 51 Divide each side by '17'. a = 3 Simplifying a = 3
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