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Simplifying 2 + 2(6w + -7) = -3(2w + -1) + 6w Reorder the terms: 2 + 2(-7 + 6w) = -3(2w + -1) + 6w 2 + (-7 * 2 + 6w * 2) = -3(2w + -1) + 6w 2 + (-14 + 12w) = -3(2w + -1) + 6w Combine like terms: 2 + -14 = -12 -12 + 12w = -3(2w + -1) + 6w Reorder the terms: -12 + 12w = -3(-1 + 2w) + 6w -12 + 12w = (-1 * -3 + 2w * -3) + 6w -12 + 12w = (3 + -6w) + 6w Combine like terms: -6w + 6w = 0 -12 + 12w = 3 + 0 -12 + 12w = 3 Solving -12 + 12w = 3 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 12w = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 12w = 3 + 12 12w = 3 + 12 Combine like terms: 3 + 12 = 15 12w = 15 Divide each side by '12'. w = 1.25 Simplifying w = 1.25
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