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Simplifying 7w + -10 = 4(w + -1) Reorder the terms: -10 + 7w = 4(w + -1) Reorder the terms: -10 + 7w = 4(-1 + w) -10 + 7w = (-1 * 4 + w * 4) -10 + 7w = (-4 + 4w) Solving -10 + 7w = -4 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -10 + 7w + -4w = -4 + 4w + -4w Combine like terms: 7w + -4w = 3w -10 + 3w = -4 + 4w + -4w Combine like terms: 4w + -4w = 0 -10 + 3w = -4 + 0 -10 + 3w = -4 Add '10' to each side of the equation. -10 + 10 + 3w = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 3w = -4 + 10 3w = -4 + 10 Combine like terms: -4 + 10 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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