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Simplifying 6w + 2 = 4(w + -3) Reorder the terms: 2 + 6w = 4(w + -3) Reorder the terms: 2 + 6w = 4(-3 + w) 2 + 6w = (-3 * 4 + w * 4) 2 + 6w = (-12 + 4w) Solving 2 + 6w = -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. 2 + 6w + -4w = -12 + 4w + -4w Combine like terms: 6w + -4w = 2w 2 + 2w = -12 + 4w + -4w Combine like terms: 4w + -4w = 0 2 + 2w = -12 + 0 2 + 2w = -12 Add '-2' to each side of the equation. 2 + -2 + 2w = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = -12 + -2 2w = -12 + -2 Combine like terms: -12 + -2 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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