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Simplifying -7(w + -8) + -1(5 + -6w) = -2w Reorder the terms: -7(-8 + w) + -1(5 + -6w) = -2w (-8 * -7 + w * -7) + -1(5 + -6w) = -2w (56 + -7w) + -1(5 + -6w) = -2w 56 + -7w + (5 * -1 + -6w * -1) = -2w 56 + -7w + (-5 + 6w) = -2w Reorder the terms: 56 + -5 + -7w + 6w = -2w Combine like terms: 56 + -5 = 51 51 + -7w + 6w = -2w Combine like terms: -7w + 6w = -1w 51 + -1w = -2w Solving 51 + -1w = -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 51 + -1w + 2w = -2w + 2w Combine like terms: -1w + 2w = 1w 51 + 1w = -2w + 2w Combine like terms: -2w + 2w = 0 51 + 1w = 0 Add '-51' to each side of the equation. 51 + -51 + 1w = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 1w = 0 + -51 1w = 0 + -51 Combine like terms: 0 + -51 = -51 1w = -51 Divide each side by '1'. w = -51 Simplifying w = -51
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