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Simplifying 4w + -1(-16w) + -16w + -1(-19) = 7 Remove parenthesis around (-16w) 4w + -1 * -16w + -16w + -1(-19) = 7 Multiply -1 * -16 4w + 16w + -16w + -1(-19) = 7 Multiply -1 * -19 4w + 16w + -16w + 19 = 7 Reorder the terms: 19 + 4w + 16w + -16w = 7 Combine like terms: 4w + 16w = 20w 19 + 20w + -16w = 7 Combine like terms: 20w + -16w = 4w 19 + 4w = 7 Solving 19 + 4w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 4w = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 4w = 7 + -19 4w = 7 + -19 Combine like terms: 7 + -19 = -12 4w = -12 Divide each side by '4'. w = -3 Simplifying w = -3
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