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Simplifying -2(3w + 5) = 7w + -4 + -1w Reorder the terms: -2(5 + 3w) = 7w + -4 + -1w (5 * -2 + 3w * -2) = 7w + -4 + -1w (-10 + -6w) = 7w + -4 + -1w Reorder the terms: -10 + -6w = -4 + 7w + -1w Combine like terms: 7w + -1w = 6w -10 + -6w = -4 + 6w Solving -10 + -6w = -4 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -10 + -6w + -6w = -4 + 6w + -6w Combine like terms: -6w + -6w = -12w -10 + -12w = -4 + 6w + -6w Combine like terms: 6w + -6w = 0 -10 + -12w = -4 + 0 -10 + -12w = -4 Add '10' to each side of the equation. -10 + 10 + -12w = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -12w = -4 + 10 -12w = -4 + 10 Combine like terms: -4 + 10 = 6 -12w = 6 Divide each side by '-12'. w = -0.5 Simplifying w = -0.5
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