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Simplifying 6(w + 1) + -10 = 4(w + -1) + -2w Reorder the terms: 6(1 + w) + -10 = 4(w + -1) + -2w (1 * 6 + w * 6) + -10 = 4(w + -1) + -2w (6 + 6w) + -10 = 4(w + -1) + -2w Reorder the terms: 6 + -10 + 6w = 4(w + -1) + -2w Combine like terms: 6 + -10 = -4 -4 + 6w = 4(w + -1) + -2w Reorder the terms: -4 + 6w = 4(-1 + w) + -2w -4 + 6w = (-1 * 4 + w * 4) + -2w -4 + 6w = (-4 + 4w) + -2w Combine like terms: 4w + -2w = 2w -4 + 6w = -4 + 2w Add '4' to each side of the equation. -4 + 4 + 6w = -4 + 4 + 2w Combine like terms: -4 + 4 = 0 0 + 6w = -4 + 4 + 2w 6w = -4 + 4 + 2w Combine like terms: -4 + 4 = 0 6w = 0 + 2w 6w = 2w Solving 6w = 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 6w + -2w = 2w + -2w Combine like terms: 6w + -2w = 4w 4w = 2w + -2w Combine like terms: 2w + -2w = 0 4w = 0 Divide each side by '4'. w = 0 Simplifying w = 0
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