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Simplifying -3w + -6 = 3(w + -4) Reorder the terms: -6 + -3w = 3(w + -4) Reorder the terms: -6 + -3w = 3(-4 + w) -6 + -3w = (-4 * 3 + w * 3) -6 + -3w = (-12 + 3w) Solving -6 + -3w = -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. -6 + -3w + -3w = -12 + 3w + -3w Combine like terms: -3w + -3w = -6w -6 + -6w = -12 + 3w + -3w Combine like terms: 3w + -3w = 0 -6 + -6w = -12 + 0 -6 + -6w = -12 Add '6' to each side of the equation. -6 + 6 + -6w = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -6w = -12 + 6 -6w = -12 + 6 Combine like terms: -12 + 6 = -6 -6w = -6 Divide each side by '-6'. w = 1 Simplifying w = 1
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