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Simplifying 4(w + -9) = 7w + 19 Reorder the terms: 4(-9 + w) = 7w + 19 (-9 * 4 + w * 4) = 7w + 19 (-36 + 4w) = 7w + 19 Reorder the terms: -36 + 4w = 19 + 7w Solving -36 + 4w = 19 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -36 + 4w + -7w = 19 + 7w + -7w Combine like terms: 4w + -7w = -3w -36 + -3w = 19 + 7w + -7w Combine like terms: 7w + -7w = 0 -36 + -3w = 19 + 0 -36 + -3w = 19 Add '36' to each side of the equation. -36 + 36 + -3w = 19 + 36 Combine like terms: -36 + 36 = 0 0 + -3w = 19 + 36 -3w = 19 + 36 Combine like terms: 19 + 36 = 55 -3w = 55 Divide each side by '-3'. w = -18.33333333 Simplifying w = -18.33333333
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