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Simplifying 23 + 3a = 8(7a + -5) Reorder the terms: 23 + 3a = 8(-5 + 7a) 23 + 3a = (-5 * 8 + 7a * 8) 23 + 3a = (-40 + 56a) Solving 23 + 3a = -40 + 56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-56a' to each side of the equation. 23 + 3a + -56a = -40 + 56a + -56a Combine like terms: 3a + -56a = -53a 23 + -53a = -40 + 56a + -56a Combine like terms: 56a + -56a = 0 23 + -53a = -40 + 0 23 + -53a = -40 Add '-23' to each side of the equation. 23 + -23 + -53a = -40 + -23 Combine like terms: 23 + -23 = 0 0 + -53a = -40 + -23 -53a = -40 + -23 Combine like terms: -40 + -23 = -63 -53a = -63 Divide each side by '-53'. a = 1.188679245 Simplifying a = 1.188679245
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