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Simplifying 4(w + -7) + -6w = -34 Reorder the terms: 4(-7 + w) + -6w = -34 (-7 * 4 + w * 4) + -6w = -34 (-28 + 4w) + -6w = -34 Combine like terms: 4w + -6w = -2w -28 + -2w = -34 Solving -28 + -2w = -34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -2w = -34 + 28 Combine like terms: -28 + 28 = 0 0 + -2w = -34 + 28 -2w = -34 + 28 Combine like terms: -34 + 28 = -6 -2w = -6 Divide each side by '-2'. w = 3 Simplifying w = 3
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