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Simplifying 6(w + -1) = 8w + 7 + -2(-5w + -1) Reorder the terms: 6(-1 + w) = 8w + 7 + -2(-5w + -1) (-1 * 6 + w * 6) = 8w + 7 + -2(-5w + -1) (-6 + 6w) = 8w + 7 + -2(-5w + -1) Reorder the terms: -6 + 6w = 8w + 7 + -2(-1 + -5w) -6 + 6w = 8w + 7 + (-1 * -2 + -5w * -2) -6 + 6w = 8w + 7 + (2 + 10w) Reorder the terms: -6 + 6w = 7 + 2 + 8w + 10w Combine like terms: 7 + 2 = 9 -6 + 6w = 9 + 8w + 10w Combine like terms: 8w + 10w = 18w -6 + 6w = 9 + 18w Solving -6 + 6w = 9 + 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. -6 + 6w + -18w = 9 + 18w + -18w Combine like terms: 6w + -18w = -12w -6 + -12w = 9 + 18w + -18w Combine like terms: 18w + -18w = 0 -6 + -12w = 9 + 0 -6 + -12w = 9 Add '6' to each side of the equation. -6 + 6 + -12w = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -12w = 9 + 6 -12w = 9 + 6 Combine like terms: 9 + 6 = 15 -12w = 15 Divide each side by '-12'. w = -1.25 Simplifying w = -1.25
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