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Simplifying -9(w + -2) + -1(5 + 6w) = -16w Reorder the terms: -9(-2 + w) + -1(5 + 6w) = -16w (-2 * -9 + w * -9) + -1(5 + 6w) = -16w (18 + -9w) + -1(5 + 6w) = -16w 18 + -9w + (5 * -1 + 6w * -1) = -16w 18 + -9w + (-5 + -6w) = -16w Reorder the terms: 18 + -5 + -9w + -6w = -16w Combine like terms: 18 + -5 = 13 13 + -9w + -6w = -16w Combine like terms: -9w + -6w = -15w 13 + -15w = -16w Solving 13 + -15w = -16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16w' to each side of the equation. 13 + -15w + 16w = -16w + 16w Combine like terms: -15w + 16w = 1w 13 + 1w = -16w + 16w Combine like terms: -16w + 16w = 0 13 + 1w = 0 Add '-13' to each side of the equation. 13 + -13 + 1w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 1w = 0 + -13 1w = 0 + -13 Combine like terms: 0 + -13 = -13 1w = -13 Divide each side by '1'. w = -13 Simplifying w = -13
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