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Simplifying 2w + -4(9 + -3z) = 62 2w + (9 * -4 + -3z * -4) = 62 2w + (-36 + 12z) = 62 Reorder the terms: -36 + 2w + 12z = 62 Solving -36 + 2w + 12z = 62 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 2w + 36 + 12z = 62 + 36 Reorder the terms: -36 + 36 + 2w + 12z = 62 + 36 Combine like terms: -36 + 36 = 0 0 + 2w + 12z = 62 + 36 2w + 12z = 62 + 36 Combine like terms: 62 + 36 = 98 2w + 12z = 98 Add '-12z' to each side of the equation. 2w + 12z + -12z = 98 + -12z Combine like terms: 12z + -12z = 0 2w + 0 = 98 + -12z 2w = 98 + -12z Divide each side by '2'. w = 49 + -6z Simplifying w = 49 + -6z
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