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Simplifying 5 + -3(w + 6) = w + -7 Reorder the terms: 5 + -3(6 + w) = w + -7 5 + (6 * -3 + w * -3) = w + -7 5 + (-18 + -3w) = w + -7 Combine like terms: 5 + -18 = -13 -13 + -3w = w + -7 Reorder the terms: -13 + -3w = -7 + w Solving -13 + -3w = -7 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -13 + -3w + -1w = -7 + w + -1w Combine like terms: -3w + -1w = -4w -13 + -4w = -7 + w + -1w Combine like terms: w + -1w = 0 -13 + -4w = -7 + 0 -13 + -4w = -7 Add '13' to each side of the equation. -13 + 13 + -4w = -7 + 13 Combine like terms: -13 + 13 = 0 0 + -4w = -7 + 13 -4w = -7 + 13 Combine like terms: -7 + 13 = 6 -4w = 6 Divide each side by '-4'. w = -1.5 Simplifying w = -1.5
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