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Simplifying 12 + 3a + -54 + 5a = 62 Reorder the terms: 12 + -54 + 3a + 5a = 62 Combine like terms: 12 + -54 = -42 -42 + 3a + 5a = 62 Combine like terms: 3a + 5a = 8a -42 + 8a = 62 Solving -42 + 8a = 62 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 8a = 62 + 42 Combine like terms: -42 + 42 = 0 0 + 8a = 62 + 42 8a = 62 + 42 Combine like terms: 62 + 42 = 104 8a = 104 Divide each side by '8'. a = 13 Simplifying a = 13
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