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Simplifying 2(w + -1) + -2 = 7(-3w + 1) + -4w Reorder the terms: 2(-1 + w) + -2 = 7(-3w + 1) + -4w (-1 * 2 + w * 2) + -2 = 7(-3w + 1) + -4w (-2 + 2w) + -2 = 7(-3w + 1) + -4w Reorder the terms: -2 + -2 + 2w = 7(-3w + 1) + -4w Combine like terms: -2 + -2 = -4 -4 + 2w = 7(-3w + 1) + -4w Reorder the terms: -4 + 2w = 7(1 + -3w) + -4w -4 + 2w = (1 * 7 + -3w * 7) + -4w -4 + 2w = (7 + -21w) + -4w Combine like terms: -21w + -4w = -25w -4 + 2w = 7 + -25w Solving -4 + 2w = 7 + -25w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '25w' to each side of the equation. -4 + 2w + 25w = 7 + -25w + 25w Combine like terms: 2w + 25w = 27w -4 + 27w = 7 + -25w + 25w Combine like terms: -25w + 25w = 0 -4 + 27w = 7 + 0 -4 + 27w = 7 Add '4' to each side of the equation. -4 + 4 + 27w = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 27w = 7 + 4 27w = 7 + 4 Combine like terms: 7 + 4 = 11 27w = 11 Divide each side by '27'. w = 0.4074074074 Simplifying w = 0.4074074074
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