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Simplifying 8(3a + 6) = 16a + -36 Reorder the terms: 8(6 + 3a) = 16a + -36 (6 * 8 + 3a * 8) = 16a + -36 (48 + 24a) = 16a + -36 Reorder the terms: 48 + 24a = -36 + 16a Solving 48 + 24a = -36 + 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. 48 + 24a + -16a = -36 + 16a + -16a Combine like terms: 24a + -16a = 8a 48 + 8a = -36 + 16a + -16a Combine like terms: 16a + -16a = 0 48 + 8a = -36 + 0 48 + 8a = -36 Add '-48' to each side of the equation. 48 + -48 + 8a = -36 + -48 Combine like terms: 48 + -48 = 0 0 + 8a = -36 + -48 8a = -36 + -48 Combine like terms: -36 + -48 = -84 8a = -84 Divide each side by '8'. a = -10.5 Simplifying a = -10.5
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