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Simplifying -2(7w + 6) + -1w = 3(w + -1) + -4 Reorder the terms: -2(6 + 7w) + -1w = 3(w + -1) + -4 (6 * -2 + 7w * -2) + -1w = 3(w + -1) + -4 (-12 + -14w) + -1w = 3(w + -1) + -4 Combine like terms: -14w + -1w = -15w -12 + -15w = 3(w + -1) + -4 Reorder the terms: -12 + -15w = 3(-1 + w) + -4 -12 + -15w = (-1 * 3 + w * 3) + -4 -12 + -15w = (-3 + 3w) + -4 Reorder the terms: -12 + -15w = -3 + -4 + 3w Combine like terms: -3 + -4 = -7 -12 + -15w = -7 + 3w Solving -12 + -15w = -7 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -12 + -15w + -3w = -7 + 3w + -3w Combine like terms: -15w + -3w = -18w -12 + -18w = -7 + 3w + -3w Combine like terms: 3w + -3w = 0 -12 + -18w = -7 + 0 -12 + -18w = -7 Add '12' to each side of the equation. -12 + 12 + -18w = -7 + 12 Combine like terms: -12 + 12 = 0 0 + -18w = -7 + 12 -18w = -7 + 12 Combine like terms: -7 + 12 = 5 -18w = 5 Divide each side by '-18'. w = -0.2777777778 Simplifying w = -0.2777777778
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