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Simplifying 1(7a + -1) = 2a + 7 Reorder the terms: 1(-1 + 7a) = 2a + 7 (-1 * 1 + 7a * 1) = 2a + 7 (-1 + 7a) = 2a + 7 Reorder the terms: -1 + 7a = 7 + 2a Solving -1 + 7a = 7 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -1 + 7a + -2a = 7 + 2a + -2a Combine like terms: 7a + -2a = 5a -1 + 5a = 7 + 2a + -2a Combine like terms: 2a + -2a = 0 -1 + 5a = 7 + 0 -1 + 5a = 7 Add '1' to each side of the equation. -1 + 1 + 5a = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 5a = 7 + 1 5a = 7 + 1 Combine like terms: 7 + 1 = 8 5a = 8 Divide each side by '5'. a = 1.6 Simplifying a = 1.6
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