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Simplifying -7w + -6 = -4(w + -3) Reorder the terms: -6 + -7w = -4(w + -3) Reorder the terms: -6 + -7w = -4(-3 + w) -6 + -7w = (-3 * -4 + w * -4) -6 + -7w = (12 + -4w) Solving -6 + -7w = 12 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -6 + -7w + 4w = 12 + -4w + 4w Combine like terms: -7w + 4w = -3w -6 + -3w = 12 + -4w + 4w Combine like terms: -4w + 4w = 0 -6 + -3w = 12 + 0 -6 + -3w = 12 Add '6' to each side of the equation. -6 + 6 + -3w = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -3w = 12 + 6 -3w = 12 + 6 Combine like terms: 12 + 6 = 18 -3w = 18 Divide each side by '-3'. w = -6 Simplifying w = -6
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