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Simplifying -7(w + -8) + -1(9w + -6) = -17w Reorder the terms: -7(-8 + w) + -1(9w + -6) = -17w (-8 * -7 + w * -7) + -1(9w + -6) = -17w (56 + -7w) + -1(9w + -6) = -17w Reorder the terms: 56 + -7w + -1(-6 + 9w) = -17w 56 + -7w + (-6 * -1 + 9w * -1) = -17w 56 + -7w + (6 + -9w) = -17w Reorder the terms: 56 + 6 + -7w + -9w = -17w Combine like terms: 56 + 6 = 62 62 + -7w + -9w = -17w Combine like terms: -7w + -9w = -16w 62 + -16w = -17w Solving 62 + -16w = -17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '17w' to each side of the equation. 62 + -16w + 17w = -17w + 17w Combine like terms: -16w + 17w = 1w 62 + 1w = -17w + 17w Combine like terms: -17w + 17w = 0 62 + 1w = 0 Add '-62' to each side of the equation. 62 + -62 + 1w = 0 + -62 Combine like terms: 62 + -62 = 0 0 + 1w = 0 + -62 1w = 0 + -62 Combine like terms: 0 + -62 = -62 1w = -62 Divide each side by '1'. w = -62 Simplifying w = -62
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