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Simplifying -7(w + 5) + -1(2 + -2w) = -6w Reorder the terms: -7(5 + w) + -1(2 + -2w) = -6w (5 * -7 + w * -7) + -1(2 + -2w) = -6w (-35 + -7w) + -1(2 + -2w) = -6w -35 + -7w + (2 * -1 + -2w * -1) = -6w -35 + -7w + (-2 + 2w) = -6w Reorder the terms: -35 + -2 + -7w + 2w = -6w Combine like terms: -35 + -2 = -37 -37 + -7w + 2w = -6w Combine like terms: -7w + 2w = -5w -37 + -5w = -6w Solving -37 + -5w = -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -37 + -5w + 6w = -6w + 6w Combine like terms: -5w + 6w = 1w -37 + 1w = -6w + 6w Combine like terms: -6w + 6w = 0 -37 + 1w = 0 Add '37' to each side of the equation. -37 + 37 + 1w = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 1w = 0 + 37 1w = 0 + 37 Combine like terms: 0 + 37 = 37 1w = 37 Divide each side by '1'. w = 37 Simplifying w = 37
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