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Simplifying -1(w + 2) = 2(3w + -6) Reorder the terms: -1(2 + w) = 2(3w + -6) (2 * -1 + w * -1) = 2(3w + -6) (-2 + -1w) = 2(3w + -6) Reorder the terms: -2 + -1w = 2(-6 + 3w) -2 + -1w = (-6 * 2 + 3w * 2) -2 + -1w = (-12 + 6w) Solving -2 + -1w = -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. -2 + -1w + -6w = -12 + 6w + -6w Combine like terms: -1w + -6w = -7w -2 + -7w = -12 + 6w + -6w Combine like terms: 6w + -6w = 0 -2 + -7w = -12 + 0 -2 + -7w = -12 Add '2' to each side of the equation. -2 + 2 + -7w = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -7w = -12 + 2 -7w = -12 + 2 Combine like terms: -12 + 2 = -10 -7w = -10 Divide each side by '-7'. w = 1.428571429 Simplifying w = 1.428571429
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