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Simplifying 2(w + -1) = 6w + 4 + -4(-3w + -1) Reorder the terms: 2(-1 + w) = 6w + 4 + -4(-3w + -1) (-1 * 2 + w * 2) = 6w + 4 + -4(-3w + -1) (-2 + 2w) = 6w + 4 + -4(-3w + -1) Reorder the terms: -2 + 2w = 6w + 4 + -4(-1 + -3w) -2 + 2w = 6w + 4 + (-1 * -4 + -3w * -4) -2 + 2w = 6w + 4 + (4 + 12w) Reorder the terms: -2 + 2w = 4 + 4 + 6w + 12w Combine like terms: 4 + 4 = 8 -2 + 2w = 8 + 6w + 12w Combine like terms: 6w + 12w = 18w -2 + 2w = 8 + 18w Solving -2 + 2w = 8 + 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. -2 + 2w + -18w = 8 + 18w + -18w Combine like terms: 2w + -18w = -16w -2 + -16w = 8 + 18w + -18w Combine like terms: 18w + -18w = 0 -2 + -16w = 8 + 0 -2 + -16w = 8 Add '2' to each side of the equation. -2 + 2 + -16w = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -16w = 8 + 2 -16w = 8 + 2 Combine like terms: 8 + 2 = 10 -16w = 10 Divide each side by '-16'. w = -0.625 Simplifying w = -0.625
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