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Simplifying 45y + 2w + -1(8 + -1w) = 19 45y + 2w + (8 * -1 + -1w * -1) = 19 45y + 2w + (-8 + 1w) = 19 Reorder the terms: -8 + 2w + 1w + 45y = 19 Combine like terms: 2w + 1w = 3w -8 + 3w + 45y = 19 Solving -8 + 3w + 45y = 19 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3w + 8 + 45y = 19 + 8 Reorder the terms: -8 + 8 + 3w + 45y = 19 + 8 Combine like terms: -8 + 8 = 0 0 + 3w + 45y = 19 + 8 3w + 45y = 19 + 8 Combine like terms: 19 + 8 = 27 3w + 45y = 27 Add '-45y' to each side of the equation. 3w + 45y + -45y = 27 + -45y Combine like terms: 45y + -45y = 0 3w + 0 = 27 + -45y 3w = 27 + -45y Divide each side by '3'. w = 9 + -15y Simplifying w = 9 + -15y
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