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Simplifying 208 = -7a + -8(3a + 5) Reorder the terms: 208 = -7a + -8(5 + 3a) 208 = -7a + (5 * -8 + 3a * -8) 208 = -7a + (-40 + -24a) Reorder the terms: 208 = -40 + -7a + -24a Combine like terms: -7a + -24a = -31a 208 = -40 + -31a Solving 208 = -40 + -31a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '31a' to each side of the equation. 208 + 31a = -40 + -31a + 31a Combine like terms: -31a + 31a = 0 208 + 31a = -40 + 0 208 + 31a = -40 Add '-208' to each side of the equation. 208 + -208 + 31a = -40 + -208 Combine like terms: 208 + -208 = 0 0 + 31a = -40 + -208 31a = -40 + -208 Combine like terms: -40 + -208 = -248 31a = -248 Divide each side by '31'. a = -8 Simplifying a = -8
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