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Simplifying -294 = 6(a + 7) Reorder the terms: -294 = 6(7 + a) -294 = (7 * 6 + a * 6) -294 = (42 + 6a) Solving -294 = 42 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -294 + -6a = 42 + 6a + -6a Combine like terms: 6a + -6a = 0 -294 + -6a = 42 + 0 -294 + -6a = 42 Add '294' to each side of the equation. -294 + 294 + -6a = 42 + 294 Combine like terms: -294 + 294 = 0 0 + -6a = 42 + 294 -6a = 42 + 294 Combine like terms: 42 + 294 = 336 -6a = 336 Divide each side by '-6'. a = -56 Simplifying a = -56
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