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Simplifying 7(w + -3) + -9 = -4(-5w + 9) + -4 Reorder the terms: 7(-3 + w) + -9 = -4(-5w + 9) + -4 (-3 * 7 + w * 7) + -9 = -4(-5w + 9) + -4 (-21 + 7w) + -9 = -4(-5w + 9) + -4 Reorder the terms: -21 + -9 + 7w = -4(-5w + 9) + -4 Combine like terms: -21 + -9 = -30 -30 + 7w = -4(-5w + 9) + -4 Reorder the terms: -30 + 7w = -4(9 + -5w) + -4 -30 + 7w = (9 * -4 + -5w * -4) + -4 -30 + 7w = (-36 + 20w) + -4 Reorder the terms: -30 + 7w = -36 + -4 + 20w Combine like terms: -36 + -4 = -40 -30 + 7w = -40 + 20w Solving -30 + 7w = -40 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. -30 + 7w + -20w = -40 + 20w + -20w Combine like terms: 7w + -20w = -13w -30 + -13w = -40 + 20w + -20w Combine like terms: 20w + -20w = 0 -30 + -13w = -40 + 0 -30 + -13w = -40 Add '30' to each side of the equation. -30 + 30 + -13w = -40 + 30 Combine like terms: -30 + 30 = 0 0 + -13w = -40 + 30 -13w = -40 + 30 Combine like terms: -40 + 30 = -10 -13w = -10 Divide each side by '-13'. w = 0.7692307692 Simplifying w = 0.7692307692
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