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Simplifying 8(4a + 6) + 8 = 19 + -5a Reorder the terms: 8(6 + 4a) + 8 = 19 + -5a (6 * 8 + 4a * 8) + 8 = 19 + -5a (48 + 32a) + 8 = 19 + -5a Reorder the terms: 48 + 8 + 32a = 19 + -5a Combine like terms: 48 + 8 = 56 56 + 32a = 19 + -5a Solving 56 + 32a = 19 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 56 + 32a + 5a = 19 + -5a + 5a Combine like terms: 32a + 5a = 37a 56 + 37a = 19 + -5a + 5a Combine like terms: -5a + 5a = 0 56 + 37a = 19 + 0 56 + 37a = 19 Add '-56' to each side of the equation. 56 + -56 + 37a = 19 + -56 Combine like terms: 56 + -56 = 0 0 + 37a = 19 + -56 37a = 19 + -56 Combine like terms: 19 + -56 = -37 37a = -37 Divide each side by '37'. a = -1 Simplifying a = -1
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