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Simplifying 9w + -6w + -40 + (-5) = 5w + -1(-4w) + 5 + (-2) 9w + -6w + -40 + -5 = 5w + -1(-4w) + 5 + (-2) Reorder the terms: -40 + -5 + 9w + -6w = 5w + -1(-4w) + 5 + (-2) Combine like terms: -40 + -5 = -45 -45 + 9w + -6w = 5w + -1(-4w) + 5 + (-2) Combine like terms: 9w + -6w = 3w -45 + 3w = 5w + -1(-4w) + 5 + (-2) Remove parenthesis around (-4w) -45 + 3w = 5w + -1 * -4w + 5 + (-2) Multiply -1 * -4 -45 + 3w = 5w + 4w + 5 + (-2) -45 + 3w = 5w + 4w + 5 + -2 Reorder the terms: -45 + 3w = 5 + -2 + 5w + 4w Combine like terms: 5 + -2 = 3 -45 + 3w = 3 + 5w + 4w Combine like terms: 5w + 4w = 9w -45 + 3w = 3 + 9w Solving -45 + 3w = 3 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -45 + 3w + -9w = 3 + 9w + -9w Combine like terms: 3w + -9w = -6w -45 + -6w = 3 + 9w + -9w Combine like terms: 9w + -9w = 0 -45 + -6w = 3 + 0 -45 + -6w = 3 Add '45' to each side of the equation. -45 + 45 + -6w = 3 + 45 Combine like terms: -45 + 45 = 0 0 + -6w = 3 + 45 -6w = 3 + 45 Combine like terms: 3 + 45 = 48 -6w = 48 Divide each side by '-6'. w = -8 Simplifying w = -8
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