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Simplifying -18 = 2w + 4(w + -3) Reorder the terms: -18 = 2w + 4(-3 + w) -18 = 2w + (-3 * 4 + w * 4) -18 = 2w + (-12 + 4w) Reorder the terms: -18 = -12 + 2w + 4w Combine like terms: 2w + 4w = 6w -18 = -12 + 6w Solving -18 = -12 + 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. -18 + -6w = -12 + 6w + -6w Combine like terms: 6w + -6w = 0 -18 + -6w = -12 + 0 -18 + -6w = -12 Add '18' to each side of the equation. -18 + 18 + -6w = -12 + 18 Combine like terms: -18 + 18 = 0 0 + -6w = -12 + 18 -6w = -12 + 18 Combine like terms: -12 + 18 = 6 -6w = 6 Divide each side by '-6'. w = -1 Simplifying w = -1
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