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Simplifying -3w + -13 = 4w + 8 Reorder the terms: -13 + -3w = 4w + 8 Reorder the terms: -13 + -3w = 8 + 4w Solving -13 + -3w = 8 + 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. -13 + -3w + -4w = 8 + 4w + -4w Combine like terms: -3w + -4w = -7w -13 + -7w = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 -13 + -7w = 8 + 0 -13 + -7w = 8 Add '13' to each side of the equation. -13 + 13 + -7w = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -7w = 8 + 13 -7w = 8 + 13 Combine like terms: 8 + 13 = 21 -7w = 21 Divide each side by '-7'. w = -3 Simplifying w = -3
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