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Simplifying 4(w + -5) + -5 = -7(-3w + 1) + -5 Reorder the terms: 4(-5 + w) + -5 = -7(-3w + 1) + -5 (-5 * 4 + w * 4) + -5 = -7(-3w + 1) + -5 (-20 + 4w) + -5 = -7(-3w + 1) + -5 Reorder the terms: -20 + -5 + 4w = -7(-3w + 1) + -5 Combine like terms: -20 + -5 = -25 -25 + 4w = -7(-3w + 1) + -5 Reorder the terms: -25 + 4w = -7(1 + -3w) + -5 -25 + 4w = (1 * -7 + -3w * -7) + -5 -25 + 4w = (-7 + 21w) + -5 Reorder the terms: -25 + 4w = -7 + -5 + 21w Combine like terms: -7 + -5 = -12 -25 + 4w = -12 + 21w Solving -25 + 4w = -12 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. -25 + 4w + -21w = -12 + 21w + -21w Combine like terms: 4w + -21w = -17w -25 + -17w = -12 + 21w + -21w Combine like terms: 21w + -21w = 0 -25 + -17w = -12 + 0 -25 + -17w = -12 Add '25' to each side of the equation. -25 + 25 + -17w = -12 + 25 Combine like terms: -25 + 25 = 0 0 + -17w = -12 + 25 -17w = -12 + 25 Combine like terms: -12 + 25 = 13 -17w = 13 Divide each side by '-17'. w = -0.7647058824 Simplifying w = -0.7647058824
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