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Simplifying 7(a + 3) = 6(a + -8) Reorder the terms: 7(3 + a) = 6(a + -8) (3 * 7 + a * 7) = 6(a + -8) (21 + 7a) = 6(a + -8) Reorder the terms: 21 + 7a = 6(-8 + a) 21 + 7a = (-8 * 6 + a * 6) 21 + 7a = (-48 + 6a) Solving 21 + 7a = -48 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 21 + 7a + -6a = -48 + 6a + -6a Combine like terms: 7a + -6a = 1a 21 + 1a = -48 + 6a + -6a Combine like terms: 6a + -6a = 0 21 + 1a = -48 + 0 21 + 1a = -48 Add '-21' to each side of the equation. 21 + -21 + 1a = -48 + -21 Combine like terms: 21 + -21 = 0 0 + 1a = -48 + -21 1a = -48 + -21 Combine like terms: -48 + -21 = -69 1a = -69 Divide each side by '1'. a = -69 Simplifying a = -69
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