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Simplifying 5(16) + w + -35 = 7w + 16 + -49 Multiply 5 * 16 80 + w + -35 = 7w + 16 + -49 Reorder the terms: 80 + -35 + w = 7w + 16 + -49 Combine like terms: 80 + -35 = 45 45 + w = 7w + 16 + -49 Reorder the terms: 45 + w = 16 + -49 + 7w Combine like terms: 16 + -49 = -33 45 + w = -33 + 7w Solving 45 + w = -33 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 45 + w + -7w = -33 + 7w + -7w Combine like terms: w + -7w = -6w 45 + -6w = -33 + 7w + -7w Combine like terms: 7w + -7w = 0 45 + -6w = -33 + 0 45 + -6w = -33 Add '-45' to each side of the equation. 45 + -45 + -6w = -33 + -45 Combine like terms: 45 + -45 = 0 0 + -6w = -33 + -45 -6w = -33 + -45 Combine like terms: -33 + -45 = -78 -6w = -78 Divide each side by '-6'. w = 13 Simplifying w = 13
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