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Simplifying 4w + 7 = 6w + -15 Reorder the terms: 7 + 4w = 6w + -15 Reorder the terms: 7 + 4w = -15 + 6w Solving 7 + 4w = -15 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 7 + 4w + -6w = -15 + 6w + -6w Combine like terms: 4w + -6w = -2w 7 + -2w = -15 + 6w + -6w Combine like terms: 6w + -6w = 0 7 + -2w = -15 + 0 7 + -2w = -15 Add '-7' to each side of the equation. 7 + -7 + -2w = -15 + -7 Combine like terms: 7 + -7 = 0 0 + -2w = -15 + -7 -2w = -15 + -7 Combine like terms: -15 + -7 = -22 -2w = -22 Divide each side by '-2'. w = 11 Simplifying w = 11
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