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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 = 17w -4 + 2w = -7 + 17w Solving -4 + 2w = -7 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -4 + 2w + -17w = -7 + 17w + -17w Combine like terms: 2w + -17w = -15w -4 + -15w = -7 + 17w + -17w Combine like terms: 17w + -17w = 0 -4 + -15w = -7 + 0 -4 + -15w = -7 Add '4' to each side of the equation. -4 + 4 + -15w = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -15w = -7 + 4 -15w = -7 + 4 Combine like terms: -7 + 4 = -3 -15w = -3 Divide each side by '-15'. w = 0.2 Simplifying w = 0.2
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