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Simplifying -36 + 5a = 2(8a + 6) + 7 Reorder the terms: -36 + 5a = 2(6 + 8a) + 7 -36 + 5a = (6 * 2 + 8a * 2) + 7 -36 + 5a = (12 + 16a) + 7 Reorder the terms: -36 + 5a = 12 + 7 + 16a Combine like terms: 12 + 7 = 19 -36 + 5a = 19 + 16a Solving -36 + 5a = 19 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -36 + 5a + -16a = 19 + 16a + -16a Combine like terms: 5a + -16a = -11a -36 + -11a = 19 + 16a + -16a Combine like terms: 16a + -16a = 0 -36 + -11a = 19 + 0 -36 + -11a = 19 Add '36' to each side of the equation. -36 + 36 + -11a = 19 + 36 Combine like terms: -36 + 36 = 0 0 + -11a = 19 + 36 -11a = 19 + 36 Combine like terms: 19 + 36 = 55 -11a = 55 Divide each side by '-11'. a = -5 Simplifying a = -5
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