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Simplifying 3(2w + 7) + -5 = 4(3w + -6) + 35 Reorder the terms: 3(7 + 2w) + -5 = 4(3w + -6) + 35 (7 * 3 + 2w * 3) + -5 = 4(3w + -6) + 35 (21 + 6w) + -5 = 4(3w + -6) + 35 Reorder the terms: 21 + -5 + 6w = 4(3w + -6) + 35 Combine like terms: 21 + -5 = 16 16 + 6w = 4(3w + -6) + 35 Reorder the terms: 16 + 6w = 4(-6 + 3w) + 35 16 + 6w = (-6 * 4 + 3w * 4) + 35 16 + 6w = (-24 + 12w) + 35 Reorder the terms: 16 + 6w = -24 + 35 + 12w Combine like terms: -24 + 35 = 11 16 + 6w = 11 + 12w Solving 16 + 6w = 11 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 16 + 6w + -12w = 11 + 12w + -12w Combine like terms: 6w + -12w = -6w 16 + -6w = 11 + 12w + -12w Combine like terms: 12w + -12w = 0 16 + -6w = 11 + 0 16 + -6w = 11 Add '-16' to each side of the equation. 16 + -16 + -6w = 11 + -16 Combine like terms: 16 + -16 = 0 0 + -6w = 11 + -16 -6w = 11 + -16 Combine like terms: 11 + -16 = -5 -6w = -5 Divide each side by '-6'. w = 0.8333333333 Simplifying w = 0.8333333333
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