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Simplifying -6(w + -7) = -2w + 10 Reorder the terms: -6(-7 + w) = -2w + 10 (-7 * -6 + w * -6) = -2w + 10 (42 + -6w) = -2w + 10 Reorder the terms: 42 + -6w = 10 + -2w Solving 42 + -6w = 10 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 42 + -6w + 2w = 10 + -2w + 2w Combine like terms: -6w + 2w = -4w 42 + -4w = 10 + -2w + 2w Combine like terms: -2w + 2w = 0 42 + -4w = 10 + 0 42 + -4w = 10 Add '-42' to each side of the equation. 42 + -42 + -4w = 10 + -42 Combine like terms: 42 + -42 = 0 0 + -4w = 10 + -42 -4w = 10 + -42 Combine like terms: 10 + -42 = -32 -4w = -32 Divide each side by '-4'. w = 8 Simplifying w = 8
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