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Simplifying 7(w + -6) + -5 = -5(-4w + 9) + -7w Reorder the terms: 7(-6 + w) + -5 = -5(-4w + 9) + -7w (-6 * 7 + w * 7) + -5 = -5(-4w + 9) + -7w (-42 + 7w) + -5 = -5(-4w + 9) + -7w Reorder the terms: -42 + -5 + 7w = -5(-4w + 9) + -7w Combine like terms: -42 + -5 = -47 -47 + 7w = -5(-4w + 9) + -7w Reorder the terms: -47 + 7w = -5(9 + -4w) + -7w -47 + 7w = (9 * -5 + -4w * -5) + -7w -47 + 7w = (-45 + 20w) + -7w Combine like terms: 20w + -7w = 13w -47 + 7w = -45 + 13w Solving -47 + 7w = -45 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -47 + 7w + -13w = -45 + 13w + -13w Combine like terms: 7w + -13w = -6w -47 + -6w = -45 + 13w + -13w Combine like terms: 13w + -13w = 0 -47 + -6w = -45 + 0 -47 + -6w = -45 Add '47' to each side of the equation. -47 + 47 + -6w = -45 + 47 Combine like terms: -47 + 47 = 0 0 + -6w = -45 + 47 -6w = -45 + 47 Combine like terms: -45 + 47 = 2 -6w = 2 Divide each side by '-6'. w = -0.3333333333 Simplifying w = -0.3333333333
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