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Simplifying -4(w + 4) = 3w + 19 Reorder the terms: -4(4 + w) = 3w + 19 (4 * -4 + w * -4) = 3w + 19 (-16 + -4w) = 3w + 19 Reorder the terms: -16 + -4w = 19 + 3w Solving -16 + -4w = 19 + 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. -16 + -4w + -3w = 19 + 3w + -3w Combine like terms: -4w + -3w = -7w -16 + -7w = 19 + 3w + -3w Combine like terms: 3w + -3w = 0 -16 + -7w = 19 + 0 -16 + -7w = 19 Add '16' to each side of the equation. -16 + 16 + -7w = 19 + 16 Combine like terms: -16 + 16 = 0 0 + -7w = 19 + 16 -7w = 19 + 16 Combine like terms: 19 + 16 = 35 -7w = 35 Divide each side by '-7'. w = -5 Simplifying w = -5
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