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Simplifying 5w + -13 = 7(w + -3) Reorder the terms: -13 + 5w = 7(w + -3) Reorder the terms: -13 + 5w = 7(-3 + w) -13 + 5w = (-3 * 7 + w * 7) -13 + 5w = (-21 + 7w) Solving -13 + 5w = -21 + 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 + 5w + -7w = -21 + 7w + -7w Combine like terms: 5w + -7w = -2w -13 + -2w = -21 + 7w + -7w Combine like terms: 7w + -7w = 0 -13 + -2w = -21 + 0 -13 + -2w = -21 Add '13' to each side of the equation. -13 + 13 + -2w = -21 + 13 Combine like terms: -13 + 13 = 0 0 + -2w = -21 + 13 -2w = -21 + 13 Combine like terms: -21 + 13 = -8 -2w = -8 Divide each side by '-2'. w = 4 Simplifying w = 4
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