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Simplifying 4(w + -3) + -6 = 2w + 42 Reorder the terms: 4(-3 + w) + -6 = 2w + 42 (-3 * 4 + w * 4) + -6 = 2w + 42 (-12 + 4w) + -6 = 2w + 42 Reorder the terms: -12 + -6 + 4w = 2w + 42 Combine like terms: -12 + -6 = -18 -18 + 4w = 2w + 42 Reorder the terms: -18 + 4w = 42 + 2w Solving -18 + 4w = 42 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -18 + 4w + -2w = 42 + 2w + -2w Combine like terms: 4w + -2w = 2w -18 + 2w = 42 + 2w + -2w Combine like terms: 2w + -2w = 0 -18 + 2w = 42 + 0 -18 + 2w = 42 Add '18' to each side of the equation. -18 + 18 + 2w = 42 + 18 Combine like terms: -18 + 18 = 0 0 + 2w = 42 + 18 2w = 42 + 18 Combine like terms: 42 + 18 = 60 2w = 60 Divide each side by '2'. w = 30 Simplifying w = 30
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