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Simplifying 4w + 10 = 7w + -2 Reorder the terms: 10 + 4w = 7w + -2 Reorder the terms: 10 + 4w = -2 + 7w Solving 10 + 4w = -2 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 10 + 4w + -7w = -2 + 7w + -7w Combine like terms: 4w + -7w = -3w 10 + -3w = -2 + 7w + -7w Combine like terms: 7w + -7w = 0 10 + -3w = -2 + 0 10 + -3w = -2 Add '-10' to each side of the equation. 10 + -10 + -3w = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -3w = -2 + -10 -3w = -2 + -10 Combine like terms: -2 + -10 = -12 -3w = -12 Divide each side by '-3'. w = 4 Simplifying w = 4
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