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Simplifying 3w + -13 = 7(w + -7) Reorder the terms: -13 + 3w = 7(w + -7) Reorder the terms: -13 + 3w = 7(-7 + w) -13 + 3w = (-7 * 7 + w * 7) -13 + 3w = (-49 + 7w) Solving -13 + 3w = -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. -13 + 3w + -7w = -49 + 7w + -7w Combine like terms: 3w + -7w = -4w -13 + -4w = -49 + 7w + -7w Combine like terms: 7w + -7w = 0 -13 + -4w = -49 + 0 -13 + -4w = -49 Add '13' to each side of the equation. -13 + 13 + -4w = -49 + 13 Combine like terms: -13 + 13 = 0 0 + -4w = -49 + 13 -4w = -49 + 13 Combine like terms: -49 + 13 = -36 -4w = -36 Divide each side by '-4'. w = 9 Simplifying w = 9
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