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Simplifying -4 + 4w + -9 = -7 + 10w Reorder the terms: -4 + -9 + 4w = -7 + 10w Combine like terms: -4 + -9 = -13 -13 + 4w = -7 + 10w Solving -13 + 4w = -7 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -13 + 4w + -10w = -7 + 10w + -10w Combine like terms: 4w + -10w = -6w -13 + -6w = -7 + 10w + -10w Combine like terms: 10w + -10w = 0 -13 + -6w = -7 + 0 -13 + -6w = -7 Add '13' to each side of the equation. -13 + 13 + -6w = -7 + 13 Combine like terms: -13 + 13 = 0 0 + -6w = -7 + 13 -6w = -7 + 13 Combine like terms: -7 + 13 = 6 -6w = 6 Divide each side by '-6'. w = -1 Simplifying w = -1
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