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Simplifying 8(2a + 7) = 5(3a + -8) Reorder the terms: 8(7 + 2a) = 5(3a + -8) (7 * 8 + 2a * 8) = 5(3a + -8) (56 + 16a) = 5(3a + -8) Reorder the terms: 56 + 16a = 5(-8 + 3a) 56 + 16a = (-8 * 5 + 3a * 5) 56 + 16a = (-40 + 15a) Solving 56 + 16a = -40 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 56 + 16a + -15a = -40 + 15a + -15a Combine like terms: 16a + -15a = 1a 56 + 1a = -40 + 15a + -15a Combine like terms: 15a + -15a = 0 56 + 1a = -40 + 0 56 + 1a = -40 Add '-56' to each side of the equation. 56 + -56 + 1a = -40 + -56 Combine like terms: 56 + -56 = 0 0 + 1a = -40 + -56 1a = -40 + -56 Combine like terms: -40 + -56 = -96 1a = -96 Divide each side by '1'. a = -96 Simplifying a = -96
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