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Simplifying -39 + 7a = 6(6a + 8) Reorder the terms: -39 + 7a = 6(8 + 6a) -39 + 7a = (8 * 6 + 6a * 6) -39 + 7a = (48 + 36a) Solving -39 + 7a = 48 + 36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36a' to each side of the equation. -39 + 7a + -36a = 48 + 36a + -36a Combine like terms: 7a + -36a = -29a -39 + -29a = 48 + 36a + -36a Combine like terms: 36a + -36a = 0 -39 + -29a = 48 + 0 -39 + -29a = 48 Add '39' to each side of the equation. -39 + 39 + -29a = 48 + 39 Combine like terms: -39 + 39 = 0 0 + -29a = 48 + 39 -29a = 48 + 39 Combine like terms: 48 + 39 = 87 -29a = 87 Divide each side by '-29'. a = -3 Simplifying a = -3
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