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Simplifying -7(w + -6) + -1(8w + -2) = -16w Reorder the terms: -7(-6 + w) + -1(8w + -2) = -16w (-6 * -7 + w * -7) + -1(8w + -2) = -16w (42 + -7w) + -1(8w + -2) = -16w Reorder the terms: 42 + -7w + -1(-2 + 8w) = -16w 42 + -7w + (-2 * -1 + 8w * -1) = -16w 42 + -7w + (2 + -8w) = -16w Reorder the terms: 42 + 2 + -7w + -8w = -16w Combine like terms: 42 + 2 = 44 44 + -7w + -8w = -16w Combine like terms: -7w + -8w = -15w 44 + -15w = -16w Solving 44 + -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. 44 + -15w + 16w = -16w + 16w Combine like terms: -15w + 16w = 1w 44 + 1w = -16w + 16w Combine like terms: -16w + 16w = 0 44 + 1w = 0 Add '-44' to each side of the equation. 44 + -44 + 1w = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 1w = 0 + -44 1w = 0 + -44 Combine like terms: 0 + -44 = -44 1w = -44 Divide each side by '1'. w = -44 Simplifying w = -44
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