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Simplifying -336 = -7(5a + 6) + -7a Reorder the terms: -336 = -7(6 + 5a) + -7a -336 = (6 * -7 + 5a * -7) + -7a -336 = (-42 + -35a) + -7a Combine like terms: -35a + -7a = -42a -336 = -42 + -42a Solving -336 = -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. -336 + 42a = -42 + -42a + 42a Combine like terms: -42a + 42a = 0 -336 + 42a = -42 + 0 -336 + 42a = -42 Add '336' to each side of the equation. -336 + 336 + 42a = -42 + 336 Combine like terms: -336 + 336 = 0 0 + 42a = -42 + 336 42a = -42 + 336 Combine like terms: -42 + 336 = 294 42a = 294 Divide each side by '42'. a = 7 Simplifying a = 7
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