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Simplifying 5 + -3(w + 4) = w + -9 Reorder the terms: 5 + -3(4 + w) = w + -9 5 + (4 * -3 + w * -3) = w + -9 5 + (-12 + -3w) = w + -9 Combine like terms: 5 + -12 = -7 -7 + -3w = w + -9 Reorder the terms: -7 + -3w = -9 + w Solving -7 + -3w = -9 + 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. -7 + -3w + -1w = -9 + w + -1w Combine like terms: -3w + -1w = -4w -7 + -4w = -9 + w + -1w Combine like terms: w + -1w = 0 -7 + -4w = -9 + 0 -7 + -4w = -9 Add '7' to each side of the equation. -7 + 7 + -4w = -9 + 7 Combine like terms: -7 + 7 = 0 0 + -4w = -9 + 7 -4w = -9 + 7 Combine like terms: -9 + 7 = -2 -4w = -2 Divide each side by '-4'. w = 0.5 Simplifying w = 0.5
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