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Simplifying -7(w + 3) + 19 = 3(6 + -1w) Reorder the terms: -7(3 + w) + 19 = 3(6 + -1w) (3 * -7 + w * -7) + 19 = 3(6 + -1w) (-21 + -7w) + 19 = 3(6 + -1w) Reorder the terms: -21 + 19 + -7w = 3(6 + -1w) Combine like terms: -21 + 19 = -2 -2 + -7w = 3(6 + -1w) -2 + -7w = (6 * 3 + -1w * 3) -2 + -7w = (18 + -3w) Solving -2 + -7w = 18 + -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. -2 + -7w + 3w = 18 + -3w + 3w Combine like terms: -7w + 3w = -4w -2 + -4w = 18 + -3w + 3w Combine like terms: -3w + 3w = 0 -2 + -4w = 18 + 0 -2 + -4w = 18 Add '2' to each side of the equation. -2 + 2 + -4w = 18 + 2 Combine like terms: -2 + 2 = 0 0 + -4w = 18 + 2 -4w = 18 + 2 Combine like terms: 18 + 2 = 20 -4w = 20 Divide each side by '-4'. w = -5 Simplifying w = -5
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