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Simplifying -2(-3w + 1) + -7w = 5(w + -2) + -8 Reorder the terms: -2(1 + -3w) + -7w = 5(w + -2) + -8 (1 * -2 + -3w * -2) + -7w = 5(w + -2) + -8 (-2 + 6w) + -7w = 5(w + -2) + -8 Combine like terms: 6w + -7w = -1w -2 + -1w = 5(w + -2) + -8 Reorder the terms: -2 + -1w = 5(-2 + w) + -8 -2 + -1w = (-2 * 5 + w * 5) + -8 -2 + -1w = (-10 + 5w) + -8 Reorder the terms: -2 + -1w = -10 + -8 + 5w Combine like terms: -10 + -8 = -18 -2 + -1w = -18 + 5w Solving -2 + -1w = -18 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -2 + -1w + -5w = -18 + 5w + -5w Combine like terms: -1w + -5w = -6w -2 + -6w = -18 + 5w + -5w Combine like terms: 5w + -5w = 0 -2 + -6w = -18 + 0 -2 + -6w = -18 Add '2' to each side of the equation. -2 + 2 + -6w = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -6w = -18 + 2 -6w = -18 + 2 Combine like terms: -18 + 2 = -16 -6w = -16 Divide each side by '-6'. w = 2.666666667 Simplifying w = 2.666666667
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