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Simplifying 4w + 10 = -6(w + 5) Reorder the terms: 10 + 4w = -6(w + 5) Reorder the terms: 10 + 4w = -6(5 + w) 10 + 4w = (5 * -6 + w * -6) 10 + 4w = (-30 + -6w) Solving 10 + 4w = -30 + -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. 10 + 4w + 6w = -30 + -6w + 6w Combine like terms: 4w + 6w = 10w 10 + 10w = -30 + -6w + 6w Combine like terms: -6w + 6w = 0 10 + 10w = -30 + 0 10 + 10w = -30 Add '-10' to each side of the equation. 10 + -10 + 10w = -30 + -10 Combine like terms: 10 + -10 = 0 0 + 10w = -30 + -10 10w = -30 + -10 Combine like terms: -30 + -10 = -40 10w = -40 Divide each side by '10'. w = -4 Simplifying w = -4
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