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Simplifying a + 13 = 6(8 + 6a) Reorder the terms: 13 + a = 6(8 + 6a) 13 + a = (8 * 6 + 6a * 6) 13 + a = (48 + 36a) Solving 13 + a = 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. 13 + a + -36a = 48 + 36a + -36a Combine like terms: a + -36a = -35a 13 + -35a = 48 + 36a + -36a Combine like terms: 36a + -36a = 0 13 + -35a = 48 + 0 13 + -35a = 48 Add '-13' to each side of the equation. 13 + -13 + -35a = 48 + -13 Combine like terms: 13 + -13 = 0 0 + -35a = 48 + -13 -35a = 48 + -13 Combine like terms: 48 + -13 = 35 -35a = 35 Divide each side by '-35'. a = -1 Simplifying a = -1
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