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Simplifying 8(7a + 2) + -6a = -2a + -36 Reorder the terms: 8(2 + 7a) + -6a = -2a + -36 (2 * 8 + 7a * 8) + -6a = -2a + -36 (16 + 56a) + -6a = -2a + -36 Combine like terms: 56a + -6a = 50a 16 + 50a = -2a + -36 Reorder the terms: 16 + 50a = -36 + -2a Solving 16 + 50a = -36 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 16 + 50a + 2a = -36 + -2a + 2a Combine like terms: 50a + 2a = 52a 16 + 52a = -36 + -2a + 2a Combine like terms: -2a + 2a = 0 16 + 52a = -36 + 0 16 + 52a = -36 Add '-16' to each side of the equation. 16 + -16 + 52a = -36 + -16 Combine like terms: 16 + -16 = 0 0 + 52a = -36 + -16 52a = -36 + -16 Combine like terms: -36 + -16 = -52 52a = -52 Divide each side by '52'. a = -1 Simplifying a = -1
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