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Simplifying 4(w + -7) + -1 = -7(-3w + 2) + -7w Reorder the terms: 4(-7 + w) + -1 = -7(-3w + 2) + -7w (-7 * 4 + w * 4) + -1 = -7(-3w + 2) + -7w (-28 + 4w) + -1 = -7(-3w + 2) + -7w Reorder the terms: -28 + -1 + 4w = -7(-3w + 2) + -7w Combine like terms: -28 + -1 = -29 -29 + 4w = -7(-3w + 2) + -7w Reorder the terms: -29 + 4w = -7(2 + -3w) + -7w -29 + 4w = (2 * -7 + -3w * -7) + -7w -29 + 4w = (-14 + 21w) + -7w Combine like terms: 21w + -7w = 14w -29 + 4w = -14 + 14w Solving -29 + 4w = -14 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -29 + 4w + -14w = -14 + 14w + -14w Combine like terms: 4w + -14w = -10w -29 + -10w = -14 + 14w + -14w Combine like terms: 14w + -14w = 0 -29 + -10w = -14 + 0 -29 + -10w = -14 Add '29' to each side of the equation. -29 + 29 + -10w = -14 + 29 Combine like terms: -29 + 29 = 0 0 + -10w = -14 + 29 -10w = -14 + 29 Combine like terms: -14 + 29 = 15 -10w = 15 Divide each side by '-10'. w = -1.5 Simplifying w = -1.5
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