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Simplifying 4(w + -4) = 7w + -22 Reorder the terms: 4(-4 + w) = 7w + -22 (-4 * 4 + w * 4) = 7w + -22 (-16 + 4w) = 7w + -22 Reorder the terms: -16 + 4w = -22 + 7w Solving -16 + 4w = -22 + 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. -16 + 4w + -7w = -22 + 7w + -7w Combine like terms: 4w + -7w = -3w -16 + -3w = -22 + 7w + -7w Combine like terms: 7w + -7w = 0 -16 + -3w = -22 + 0 -16 + -3w = -22 Add '16' to each side of the equation. -16 + 16 + -3w = -22 + 16 Combine like terms: -16 + 16 = 0 0 + -3w = -22 + 16 -3w = -22 + 16 Combine like terms: -22 + 16 = -6 -3w = -6 Divide each side by '-3'. w = 2 Simplifying w = 2
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