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Simplifying -38 = -8 + 6(w + -4) Reorder the terms: -38 = -8 + 6(-4 + w) -38 = -8 + (-4 * 6 + w * 6) -38 = -8 + (-24 + 6w) Combine like terms: -8 + -24 = -32 -38 = -32 + 6w Solving -38 = -32 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -38 + -6w = -32 + 6w + -6w Combine like terms: 6w + -6w = 0 -38 + -6w = -32 + 0 -38 + -6w = -32 Add '38' to each side of the equation. -38 + 38 + -6w = -32 + 38 Combine like terms: -38 + 38 = 0 0 + -6w = -32 + 38 -6w = -32 + 38 Combine like terms: -32 + 38 = 6 -6w = 6 Divide each side by '-6'. w = -1 Simplifying w = -1
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