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Simplifying 6a + 20 = 7(6a + 8) Reorder the terms: 20 + 6a = 7(6a + 8) Reorder the terms: 20 + 6a = 7(8 + 6a) 20 + 6a = (8 * 7 + 6a * 7) 20 + 6a = (56 + 42a) Solving 20 + 6a = 56 + 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. 20 + 6a + -42a = 56 + 42a + -42a Combine like terms: 6a + -42a = -36a 20 + -36a = 56 + 42a + -42a Combine like terms: 42a + -42a = 0 20 + -36a = 56 + 0 20 + -36a = 56 Add '-20' to each side of the equation. 20 + -20 + -36a = 56 + -20 Combine like terms: 20 + -20 = 0 0 + -36a = 56 + -20 -36a = 56 + -20 Combine like terms: 56 + -20 = 36 -36a = 36 Divide each side by '-36'. a = -1 Simplifying a = -1
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