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Simplifying 4(w + -3) = 7 + 6w + -19 Reorder the terms: 4(-3 + w) = 7 + 6w + -19 (-3 * 4 + w * 4) = 7 + 6w + -19 (-12 + 4w) = 7 + 6w + -19 Reorder the terms: -12 + 4w = 7 + -19 + 6w Combine like terms: 7 + -19 = -12 -12 + 4w = -12 + 6w Add '12' to each side of the equation. -12 + 12 + 4w = -12 + 12 + 6w Combine like terms: -12 + 12 = 0 0 + 4w = -12 + 12 + 6w 4w = -12 + 12 + 6w Combine like terms: -12 + 12 = 0 4w = 0 + 6w 4w = 6w Solving 4w = 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. 4w + -6w = 6w + -6w Combine like terms: 4w + -6w = -2w -2w = 6w + -6w Combine like terms: 6w + -6w = 0 -2w = 0 Divide each side by '-2'. w = 0 Simplifying w = 0
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