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Simplifying 3(w + -7) + -1 = -2(-5w + 2) + -3w Reorder the terms: 3(-7 + w) + -1 = -2(-5w + 2) + -3w (-7 * 3 + w * 3) + -1 = -2(-5w + 2) + -3w (-21 + 3w) + -1 = -2(-5w + 2) + -3w Reorder the terms: -21 + -1 + 3w = -2(-5w + 2) + -3w Combine like terms: -21 + -1 = -22 -22 + 3w = -2(-5w + 2) + -3w Reorder the terms: -22 + 3w = -2(2 + -5w) + -3w -22 + 3w = (2 * -2 + -5w * -2) + -3w -22 + 3w = (-4 + 10w) + -3w Combine like terms: 10w + -3w = 7w -22 + 3w = -4 + 7w Solving -22 + 3w = -4 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -22 + 3w + -7w = -4 + 7w + -7w Combine like terms: 3w + -7w = -4w -22 + -4w = -4 + 7w + -7w Combine like terms: 7w + -7w = 0 -22 + -4w = -4 + 0 -22 + -4w = -4 Add '22' to each side of the equation. -22 + 22 + -4w = -4 + 22 Combine like terms: -22 + 22 = 0 0 + -4w = -4 + 22 -4w = -4 + 22 Combine like terms: -4 + 22 = 18 -4w = 18 Divide each side by '-4'. w = -4.5 Simplifying w = -4.5
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