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Simplifying 2(w + -1) + -4 = -3(-6w + 4) + -2w Reorder the terms: 2(-1 + w) + -4 = -3(-6w + 4) + -2w (-1 * 2 + w * 2) + -4 = -3(-6w + 4) + -2w (-2 + 2w) + -4 = -3(-6w + 4) + -2w Reorder the terms: -2 + -4 + 2w = -3(-6w + 4) + -2w Combine like terms: -2 + -4 = -6 -6 + 2w = -3(-6w + 4) + -2w Reorder the terms: -6 + 2w = -3(4 + -6w) + -2w -6 + 2w = (4 * -3 + -6w * -3) + -2w -6 + 2w = (-12 + 18w) + -2w Combine like terms: 18w + -2w = 16w -6 + 2w = -12 + 16w Solving -6 + 2w = -12 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. -6 + 2w + -16w = -12 + 16w + -16w Combine like terms: 2w + -16w = -14w -6 + -14w = -12 + 16w + -16w Combine like terms: 16w + -16w = 0 -6 + -14w = -12 + 0 -6 + -14w = -12 Add '6' to each side of the equation. -6 + 6 + -14w = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -14w = -12 + 6 -14w = -12 + 6 Combine like terms: -12 + 6 = -6 -14w = -6 Divide each side by '-14'. w = 0.4285714286 Simplifying w = 0.4285714286
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