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Simplifying 7(w + -6) + -8 = -7(-3w + 6) + -4w Reorder the terms: 7(-6 + w) + -8 = -7(-3w + 6) + -4w (-6 * 7 + w * 7) + -8 = -7(-3w + 6) + -4w (-42 + 7w) + -8 = -7(-3w + 6) + -4w Reorder the terms: -42 + -8 + 7w = -7(-3w + 6) + -4w Combine like terms: -42 + -8 = -50 -50 + 7w = -7(-3w + 6) + -4w Reorder the terms: -50 + 7w = -7(6 + -3w) + -4w -50 + 7w = (6 * -7 + -3w * -7) + -4w -50 + 7w = (-42 + 21w) + -4w Combine like terms: 21w + -4w = 17w -50 + 7w = -42 + 17w Solving -50 + 7w = -42 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -50 + 7w + -17w = -42 + 17w + -17w Combine like terms: 7w + -17w = -10w -50 + -10w = -42 + 17w + -17w Combine like terms: 17w + -17w = 0 -50 + -10w = -42 + 0 -50 + -10w = -42 Add '50' to each side of the equation. -50 + 50 + -10w = -42 + 50 Combine like terms: -50 + 50 = 0 0 + -10w = -42 + 50 -10w = -42 + 50 Combine like terms: -42 + 50 = 8 -10w = 8 Divide each side by '-10'. w = -0.8 Simplifying w = -0.8
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