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Simplifying 2a + 6a + -1b + -7 = 62 Reorder the terms: -7 + 2a + 6a + -1b = 62 Combine like terms: 2a + 6a = 8a -7 + 8a + -1b = 62 Solving -7 + 8a + -1b = 62 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 8a + 7 + -1b = 62 + 7 Reorder the terms: -7 + 7 + 8a + -1b = 62 + 7 Combine like terms: -7 + 7 = 0 0 + 8a + -1b = 62 + 7 8a + -1b = 62 + 7 Combine like terms: 62 + 7 = 69 8a + -1b = 69 Add 'b' to each side of the equation. 8a + -1b + b = 69 + b Combine like terms: -1b + b = 0 8a + 0 = 69 + b 8a = 69 + b Divide each side by '8'. a = 8.625 + 0.125b Simplifying a = 8.625 + 0.125b
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