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Simplifying 6(7w + -7) + -9 = 5w + 319 Reorder the terms: 6(-7 + 7w) + -9 = 5w + 319 (-7 * 6 + 7w * 6) + -9 = 5w + 319 (-42 + 42w) + -9 = 5w + 319 Reorder the terms: -42 + -9 + 42w = 5w + 319 Combine like terms: -42 + -9 = -51 -51 + 42w = 5w + 319 Reorder the terms: -51 + 42w = 319 + 5w Solving -51 + 42w = 319 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -51 + 42w + -5w = 319 + 5w + -5w Combine like terms: 42w + -5w = 37w -51 + 37w = 319 + 5w + -5w Combine like terms: 5w + -5w = 0 -51 + 37w = 319 + 0 -51 + 37w = 319 Add '51' to each side of the equation. -51 + 51 + 37w = 319 + 51 Combine like terms: -51 + 51 = 0 0 + 37w = 319 + 51 37w = 319 + 51 Combine like terms: 319 + 51 = 370 37w = 370 Divide each side by '37'. w = 10 Simplifying w = 10
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