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Simplifying a + -48 = 2a + 1 + -5a Reorder the terms: -48 + a = 2a + 1 + -5a Reorder the terms: -48 + a = 1 + 2a + -5a Combine like terms: 2a + -5a = -3a -48 + a = 1 + -3a Solving -48 + a = 1 + -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. -48 + a + 3a = 1 + -3a + 3a Combine like terms: a + 3a = 4a -48 + 4a = 1 + -3a + 3a Combine like terms: -3a + 3a = 0 -48 + 4a = 1 + 0 -48 + 4a = 1 Add '48' to each side of the equation. -48 + 48 + 4a = 1 + 48 Combine like terms: -48 + 48 = 0 0 + 4a = 1 + 48 4a = 1 + 48 Combine like terms: 1 + 48 = 49 4a = 49 Divide each side by '4'. a = 12.25 Simplifying a = 12.25
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