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Simplifying -294 = 7(6 + -6a) -294 = (6 * 7 + -6a * 7) -294 = (42 + -42a) Solving -294 = 42 + -42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42a' to each side of the equation. -294 + 42a = 42 + -42a + 42a Combine like terms: -42a + 42a = 0 -294 + 42a = 42 + 0 -294 + 42a = 42 Add '294' to each side of the equation. -294 + 294 + 42a = 42 + 294 Combine like terms: -294 + 294 = 0 0 + 42a = 42 + 294 42a = 42 + 294 Combine like terms: 42 + 294 = 336 42a = 336 Divide each side by '42'. a = 8 Simplifying a = 8
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