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Simplifying 5(w + -2) + -6 = -4(-5w + 6) + -3w Reorder the terms: 5(-2 + w) + -6 = -4(-5w + 6) + -3w (-2 * 5 + w * 5) + -6 = -4(-5w + 6) + -3w (-10 + 5w) + -6 = -4(-5w + 6) + -3w Reorder the terms: -10 + -6 + 5w = -4(-5w + 6) + -3w Combine like terms: -10 + -6 = -16 -16 + 5w = -4(-5w + 6) + -3w Reorder the terms: -16 + 5w = -4(6 + -5w) + -3w -16 + 5w = (6 * -4 + -5w * -4) + -3w -16 + 5w = (-24 + 20w) + -3w Combine like terms: 20w + -3w = 17w -16 + 5w = -24 + 17w Solving -16 + 5w = -24 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -16 + 5w + -17w = -24 + 17w + -17w Combine like terms: 5w + -17w = -12w -16 + -12w = -24 + 17w + -17w Combine like terms: 17w + -17w = 0 -16 + -12w = -24 + 0 -16 + -12w = -24 Add '16' to each side of the equation. -16 + 16 + -12w = -24 + 16 Combine like terms: -16 + 16 = 0 0 + -12w = -24 + 16 -12w = -24 + 16 Combine like terms: -24 + 16 = -8 -12w = -8 Divide each side by '-12'. w = 0.6666666667 Simplifying w = 0.6666666667
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