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Simplifying 7w + -36 = 3(w + -4) Reorder the terms: -36 + 7w = 3(w + -4) Reorder the terms: -36 + 7w = 3(-4 + w) -36 + 7w = (-4 * 3 + w * 3) -36 + 7w = (-12 + 3w) Solving -36 + 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. -36 + 7w + -3w = -12 + 3w + -3w Combine like terms: 7w + -3w = 4w -36 + 4w = -12 + 3w + -3w Combine like terms: 3w + -3w = 0 -36 + 4w = -12 + 0 -36 + 4w = -12 Add '36' to each side of the equation. -36 + 36 + 4w = -12 + 36 Combine like terms: -36 + 36 = 0 0 + 4w = -12 + 36 4w = -12 + 36 Combine like terms: -12 + 36 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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