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Simplifying 7w + -48 = -3(w + -4) Reorder the terms: -48 + 7w = -3(w + -4) Reorder the terms: -48 + 7w = -3(-4 + w) -48 + 7w = (-4 * -3 + w * -3) -48 + 7w = (12 + -3w) Solving -48 + 7w = 12 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -48 + 7w + 3w = 12 + -3w + 3w Combine like terms: 7w + 3w = 10w -48 + 10w = 12 + -3w + 3w Combine like terms: -3w + 3w = 0 -48 + 10w = 12 + 0 -48 + 10w = 12 Add '48' to each side of the equation. -48 + 48 + 10w = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 10w = 12 + 48 10w = 12 + 48 Combine like terms: 12 + 48 = 60 10w = 60 Divide each side by '10'. w = 6 Simplifying w = 6
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