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Simplifying 9w + -6w + -40w + (-5) = 5w + -1(-4w) + 5 + (-2) 9w + -6w + -40w + -5 = 5w + -1(-4w) + 5 + (-2) Reorder the terms: -5 + 9w + -6w + -40w = 5w + -1(-4w) + 5 + (-2) Combine like terms: 9w + -6w = 3w -5 + 3w + -40w = 5w + -1(-4w) + 5 + (-2) Combine like terms: 3w + -40w = -37w -5 + -37w = 5w + -1(-4w) + 5 + (-2) Remove parenthesis around (-4w) -5 + -37w = 5w + -1 * -4w + 5 + (-2) Multiply -1 * -4 -5 + -37w = 5w + 4w + 5 + (-2) -5 + -37w = 5w + 4w + 5 + -2 Reorder the terms: -5 + -37w = 5 + -2 + 5w + 4w Combine like terms: 5 + -2 = 3 -5 + -37w = 3 + 5w + 4w Combine like terms: 5w + 4w = 9w -5 + -37w = 3 + 9w Solving -5 + -37w = 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. -5 + -37w + -9w = 3 + 9w + -9w Combine like terms: -37w + -9w = -46w -5 + -46w = 3 + 9w + -9w Combine like terms: 9w + -9w = 0 -5 + -46w = 3 + 0 -5 + -46w = 3 Add '5' to each side of the equation. -5 + 5 + -46w = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -46w = 3 + 5 -46w = 3 + 5 Combine like terms: 3 + 5 = 8 -46w = 8 Divide each side by '-46'. w = -0.1739130435 Simplifying w = -0.1739130435
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