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Simplifying 18 + -2w + 19 = -6 + -3(-1w + 19) Reorder the terms: 18 + 19 + -2w = -6 + -3(-1w + 19) Combine like terms: 18 + 19 = 37 37 + -2w = -6 + -3(-1w + 19) Reorder the terms: 37 + -2w = -6 + -3(19 + -1w) 37 + -2w = -6 + (19 * -3 + -1w * -3) 37 + -2w = -6 + (-57 + 3w) Combine like terms: -6 + -57 = -63 37 + -2w = -63 + 3w Solving 37 + -2w = -63 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 37 + -2w + -3w = -63 + 3w + -3w Combine like terms: -2w + -3w = -5w 37 + -5w = -63 + 3w + -3w Combine like terms: 3w + -3w = 0 37 + -5w = -63 + 0 37 + -5w = -63 Add '-37' to each side of the equation. 37 + -37 + -5w = -63 + -37 Combine like terms: 37 + -37 = 0 0 + -5w = -63 + -37 -5w = -63 + -37 Combine like terms: -63 + -37 = -100 -5w = -100 Divide each side by '-5'. w = 20 Simplifying w = 20
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