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Simplifying 4(w + -8) + -7w = -38 Reorder the terms: 4(-8 + w) + -7w = -38 (-8 * 4 + w * 4) + -7w = -38 (-32 + 4w) + -7w = -38 Combine like terms: 4w + -7w = -3w -32 + -3w = -38 Solving -32 + -3w = -38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -3w = -38 + 32 Combine like terms: -32 + 32 = 0 0 + -3w = -38 + 32 -3w = -38 + 32 Combine like terms: -38 + 32 = -6 -3w = -6 Divide each side by '-3'. w = 2 Simplifying w = 2
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