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Simplifying 3w + -16 = 5(w + -6) Reorder the terms: -16 + 3w = 5(w + -6) Reorder the terms: -16 + 3w = 5(-6 + w) -16 + 3w = (-6 * 5 + w * 5) -16 + 3w = (-30 + 5w) Solving -16 + 3w = -30 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -16 + 3w + -5w = -30 + 5w + -5w Combine like terms: 3w + -5w = -2w -16 + -2w = -30 + 5w + -5w Combine like terms: 5w + -5w = 0 -16 + -2w = -30 + 0 -16 + -2w = -30 Add '16' to each side of the equation. -16 + 16 + -2w = -30 + 16 Combine like terms: -16 + 16 = 0 0 + -2w = -30 + 16 -2w = -30 + 16 Combine like terms: -30 + 16 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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