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Simplifying -5w + -1 = 7(w + -7) Reorder the terms: -1 + -5w = 7(w + -7) Reorder the terms: -1 + -5w = 7(-7 + w) -1 + -5w = (-7 * 7 + w * 7) -1 + -5w = (-49 + 7w) Solving -1 + -5w = -49 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -1 + -5w + -7w = -49 + 7w + -7w Combine like terms: -5w + -7w = -12w -1 + -12w = -49 + 7w + -7w Combine like terms: 7w + -7w = 0 -1 + -12w = -49 + 0 -1 + -12w = -49 Add '1' to each side of the equation. -1 + 1 + -12w = -49 + 1 Combine like terms: -1 + 1 = 0 0 + -12w = -49 + 1 -12w = -49 + 1 Combine like terms: -49 + 1 = -48 -12w = -48 Divide each side by '-12'. w = 4 Simplifying w = 4
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