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Simplifying 4w + -1 = 7(w + -2) Reorder the terms: -1 + 4w = 7(w + -2) Reorder the terms: -1 + 4w = 7(-2 + w) -1 + 4w = (-2 * 7 + w * 7) -1 + 4w = (-14 + 7w) Solving -1 + 4w = -14 + 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 + 4w + -7w = -14 + 7w + -7w Combine like terms: 4w + -7w = -3w -1 + -3w = -14 + 7w + -7w Combine like terms: 7w + -7w = 0 -1 + -3w = -14 + 0 -1 + -3w = -14 Add '1' to each side of the equation. -1 + 1 + -3w = -14 + 1 Combine like terms: -1 + 1 = 0 0 + -3w = -14 + 1 -3w = -14 + 1 Combine like terms: -14 + 1 = -13 -3w = -13 Divide each side by '-3'. w = 4.333333333 Simplifying w = 4.333333333
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