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Simplifying a + 6 = 6(a + 7) + -3 Reorder the terms: 6 + a = 6(a + 7) + -3 Reorder the terms: 6 + a = 6(7 + a) + -3 6 + a = (7 * 6 + a * 6) + -3 6 + a = (42 + 6a) + -3 Reorder the terms: 6 + a = 42 + -3 + 6a Combine like terms: 42 + -3 = 39 6 + a = 39 + 6a Solving 6 + a = 39 + 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. 6 + a + -6a = 39 + 6a + -6a Combine like terms: a + -6a = -5a 6 + -5a = 39 + 6a + -6a Combine like terms: 6a + -6a = 0 6 + -5a = 39 + 0 6 + -5a = 39 Add '-6' to each side of the equation. 6 + -6 + -5a = 39 + -6 Combine like terms: 6 + -6 = 0 0 + -5a = 39 + -6 -5a = 39 + -6 Combine like terms: 39 + -6 = 33 -5a = 33 Divide each side by '-5'. a = -6.6 Simplifying a = -6.6
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