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Simplifying -3(-2w + 3) + -7w = 3(w + -2) + -9 Reorder the terms: -3(3 + -2w) + -7w = 3(w + -2) + -9 (3 * -3 + -2w * -3) + -7w = 3(w + -2) + -9 (-9 + 6w) + -7w = 3(w + -2) + -9 Combine like terms: 6w + -7w = -1w -9 + -1w = 3(w + -2) + -9 Reorder the terms: -9 + -1w = 3(-2 + w) + -9 -9 + -1w = (-2 * 3 + w * 3) + -9 -9 + -1w = (-6 + 3w) + -9 Reorder the terms: -9 + -1w = -6 + -9 + 3w Combine like terms: -6 + -9 = -15 -9 + -1w = -15 + 3w Solving -9 + -1w = -15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -9 + -1w + -3w = -15 + 3w + -3w Combine like terms: -1w + -3w = -4w -9 + -4w = -15 + 3w + -3w Combine like terms: 3w + -3w = 0 -9 + -4w = -15 + 0 -9 + -4w = -15 Add '9' to each side of the equation. -9 + 9 + -4w = -15 + 9 Combine like terms: -9 + 9 = 0 0 + -4w = -15 + 9 -4w = -15 + 9 Combine like terms: -15 + 9 = -6 -4w = -6 Divide each side by '-4'. w = 1.5 Simplifying w = 1.5
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