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Simplifying 4(w + -7) + -2 = -4(-5w + 9) + -8w Reorder the terms: 4(-7 + w) + -2 = -4(-5w + 9) + -8w (-7 * 4 + w * 4) + -2 = -4(-5w + 9) + -8w (-28 + 4w) + -2 = -4(-5w + 9) + -8w Reorder the terms: -28 + -2 + 4w = -4(-5w + 9) + -8w Combine like terms: -28 + -2 = -30 -30 + 4w = -4(-5w + 9) + -8w Reorder the terms: -30 + 4w = -4(9 + -5w) + -8w -30 + 4w = (9 * -4 + -5w * -4) + -8w -30 + 4w = (-36 + 20w) + -8w Combine like terms: 20w + -8w = 12w -30 + 4w = -36 + 12w Solving -30 + 4w = -36 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -30 + 4w + -12w = -36 + 12w + -12w Combine like terms: 4w + -12w = -8w -30 + -8w = -36 + 12w + -12w Combine like terms: 12w + -12w = 0 -30 + -8w = -36 + 0 -30 + -8w = -36 Add '30' to each side of the equation. -30 + 30 + -8w = -36 + 30 Combine like terms: -30 + 30 = 0 0 + -8w = -36 + 30 -8w = -36 + 30 Combine like terms: -36 + 30 = -6 -8w = -6 Divide each side by '-8'. w = 0.75 Simplifying w = 0.75
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