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Simplifying 4(w + -7) = 6w + -12 Reorder the terms: 4(-7 + w) = 6w + -12 (-7 * 4 + w * 4) = 6w + -12 (-28 + 4w) = 6w + -12 Reorder the terms: -28 + 4w = -12 + 6w Solving -28 + 4w = -12 + 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. -28 + 4w + -6w = -12 + 6w + -6w Combine like terms: 4w + -6w = -2w -28 + -2w = -12 + 6w + -6w Combine like terms: 6w + -6w = 0 -28 + -2w = -12 + 0 -28 + -2w = -12 Add '28' to each side of the equation. -28 + 28 + -2w = -12 + 28 Combine like terms: -28 + 28 = 0 0 + -2w = -12 + 28 -2w = -12 + 28 Combine like terms: -12 + 28 = 16 -2w = 16 Divide each side by '-2'. w = -8 Simplifying w = -8
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