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Simplifying 4(w + -3) + -5 = -3(-7w + 9) + -9w Reorder the terms: 4(-3 + w) + -5 = -3(-7w + 9) + -9w (-3 * 4 + w * 4) + -5 = -3(-7w + 9) + -9w (-12 + 4w) + -5 = -3(-7w + 9) + -9w Reorder the terms: -12 + -5 + 4w = -3(-7w + 9) + -9w Combine like terms: -12 + -5 = -17 -17 + 4w = -3(-7w + 9) + -9w Reorder the terms: -17 + 4w = -3(9 + -7w) + -9w -17 + 4w = (9 * -3 + -7w * -3) + -9w -17 + 4w = (-27 + 21w) + -9w Combine like terms: 21w + -9w = 12w -17 + 4w = -27 + 12w Solving -17 + 4w = -27 + 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. -17 + 4w + -12w = -27 + 12w + -12w Combine like terms: 4w + -12w = -8w -17 + -8w = -27 + 12w + -12w Combine like terms: 12w + -12w = 0 -17 + -8w = -27 + 0 -17 + -8w = -27 Add '17' to each side of the equation. -17 + 17 + -8w = -27 + 17 Combine like terms: -17 + 17 = 0 0 + -8w = -27 + 17 -8w = -27 + 17 Combine like terms: -27 + 17 = -10 -8w = -10 Divide each side by '-8'. w = 1.25 Simplifying w = 1.25
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