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Simplifying 7(a + -2) + -6 = 2a + 8 + a Reorder the terms: 7(-2 + a) + -6 = 2a + 8 + a (-2 * 7 + a * 7) + -6 = 2a + 8 + a (-14 + 7a) + -6 = 2a + 8 + a Reorder the terms: -14 + -6 + 7a = 2a + 8 + a Combine like terms: -14 + -6 = -20 -20 + 7a = 2a + 8 + a Reorder the terms: -20 + 7a = 8 + 2a + a Combine like terms: 2a + a = 3a -20 + 7a = 8 + 3a Solving -20 + 7a = 8 + 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. -20 + 7a + -3a = 8 + 3a + -3a Combine like terms: 7a + -3a = 4a -20 + 4a = 8 + 3a + -3a Combine like terms: 3a + -3a = 0 -20 + 4a = 8 + 0 -20 + 4a = 8 Add '20' to each side of the equation. -20 + 20 + 4a = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 4a = 8 + 20 4a = 8 + 20 Combine like terms: 8 + 20 = 28 4a = 28 Divide each side by '4'. a = 7 Simplifying a = 7
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