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Simplifying 6a + 3(a + -7) = 2a + 8 Reorder the terms: 6a + 3(-7 + a) = 2a + 8 6a + (-7 * 3 + a * 3) = 2a + 8 6a + (-21 + 3a) = 2a + 8 Reorder the terms: -21 + 6a + 3a = 2a + 8 Combine like terms: 6a + 3a = 9a -21 + 9a = 2a + 8 Reorder the terms: -21 + 9a = 8 + 2a Solving -21 + 9a = 8 + 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. -21 + 9a + -2a = 8 + 2a + -2a Combine like terms: 9a + -2a = 7a -21 + 7a = 8 + 2a + -2a Combine like terms: 2a + -2a = 0 -21 + 7a = 8 + 0 -21 + 7a = 8 Add '21' to each side of the equation. -21 + 21 + 7a = 8 + 21 Combine like terms: -21 + 21 = 0 0 + 7a = 8 + 21 7a = 8 + 21 Combine like terms: 8 + 21 = 29 7a = 29 Divide each side by '7'. a = 4.142857143 Simplifying a = 4.142857143
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