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Simplifying 2(w + -1) + -5 = -2(-9w + 6) + -6w Reorder the terms: 2(-1 + w) + -5 = -2(-9w + 6) + -6w (-1 * 2 + w * 2) + -5 = -2(-9w + 6) + -6w (-2 + 2w) + -5 = -2(-9w + 6) + -6w Reorder the terms: -2 + -5 + 2w = -2(-9w + 6) + -6w Combine like terms: -2 + -5 = -7 -7 + 2w = -2(-9w + 6) + -6w Reorder the terms: -7 + 2w = -2(6 + -9w) + -6w -7 + 2w = (6 * -2 + -9w * -2) + -6w -7 + 2w = (-12 + 18w) + -6w Combine like terms: 18w + -6w = 12w -7 + 2w = -12 + 12w Solving -7 + 2w = -12 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -7 + 2w + -12w = -12 + 12w + -12w Combine like terms: 2w + -12w = -10w -7 + -10w = -12 + 12w + -12w Combine like terms: 12w + -12w = 0 -7 + -10w = -12 + 0 -7 + -10w = -12 Add '7' to each side of the equation. -7 + 7 + -10w = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -10w = -12 + 7 -10w = -12 + 7 Combine like terms: -12 + 7 = -5 -10w = -5 Divide each side by '-10'. w = 0.5 Simplifying w = 0.5
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