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Simplifying 4w + -19 = -3(w + 4) Reorder the terms: -19 + 4w = -3(w + 4) Reorder the terms: -19 + 4w = -3(4 + w) -19 + 4w = (4 * -3 + w * -3) -19 + 4w = (-12 + -3w) Solving -19 + 4w = -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. -19 + 4w + 3w = -12 + -3w + 3w Combine like terms: 4w + 3w = 7w -19 + 7w = -12 + -3w + 3w Combine like terms: -3w + 3w = 0 -19 + 7w = -12 + 0 -19 + 7w = -12 Add '19' to each side of the equation. -19 + 19 + 7w = -12 + 19 Combine like terms: -19 + 19 = 0 0 + 7w = -12 + 19 7w = -12 + 19 Combine like terms: -12 + 19 = 7 7w = 7 Divide each side by '7'. w = 1 Simplifying w = 1
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