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Simplifying 16(5 + -3w) = 2(3w + -14) (5 * 16 + -3w * 16) = 2(3w + -14) (80 + -48w) = 2(3w + -14) Reorder the terms: 80 + -48w = 2(-14 + 3w) 80 + -48w = (-14 * 2 + 3w * 2) 80 + -48w = (-28 + 6w) Solving 80 + -48w = -28 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 80 + -48w + -6w = -28 + 6w + -6w Combine like terms: -48w + -6w = -54w 80 + -54w = -28 + 6w + -6w Combine like terms: 6w + -6w = 0 80 + -54w = -28 + 0 80 + -54w = -28 Add '-80' to each side of the equation. 80 + -80 + -54w = -28 + -80 Combine like terms: 80 + -80 = 0 0 + -54w = -28 + -80 -54w = -28 + -80 Combine like terms: -28 + -80 = -108 -54w = -108 Divide each side by '-54'. w = 2 Simplifying w = 2
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