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Simplifying 3(w + -4) + -7 = -5(-4w + 5) + -1w Reorder the terms: 3(-4 + w) + -7 = -5(-4w + 5) + -1w (-4 * 3 + w * 3) + -7 = -5(-4w + 5) + -1w (-12 + 3w) + -7 = -5(-4w + 5) + -1w Reorder the terms: -12 + -7 + 3w = -5(-4w + 5) + -1w Combine like terms: -12 + -7 = -19 -19 + 3w = -5(-4w + 5) + -1w Reorder the terms: -19 + 3w = -5(5 + -4w) + -1w -19 + 3w = (5 * -5 + -4w * -5) + -1w -19 + 3w = (-25 + 20w) + -1w Combine like terms: 20w + -1w = 19w -19 + 3w = -25 + 19w Solving -19 + 3w = -25 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. -19 + 3w + -19w = -25 + 19w + -19w Combine like terms: 3w + -19w = -16w -19 + -16w = -25 + 19w + -19w Combine like terms: 19w + -19w = 0 -19 + -16w = -25 + 0 -19 + -16w = -25 Add '19' to each side of the equation. -19 + 19 + -16w = -25 + 19 Combine like terms: -19 + 19 = 0 0 + -16w = -25 + 19 -16w = -25 + 19 Combine like terms: -25 + 19 = -6 -16w = -6 Divide each side by '-16'. w = 0.375 Simplifying w = 0.375
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