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Simplifying 294 = 7(7 + 5a) 294 = (7 * 7 + 5a * 7) 294 = (49 + 35a) Solving 294 = 49 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. 294 + -35a = 49 + 35a + -35a Combine like terms: 35a + -35a = 0 294 + -35a = 49 + 0 294 + -35a = 49 Add '-294' to each side of the equation. 294 + -294 + -35a = 49 + -294 Combine like terms: 294 + -294 = 0 0 + -35a = 49 + -294 -35a = 49 + -294 Combine like terms: 49 + -294 = -245 -35a = -245 Divide each side by '-35'. a = 7 Simplifying a = 7
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