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Simplifying 3w + -1 = 2(3w + 7) Reorder the terms: -1 + 3w = 2(3w + 7) Reorder the terms: -1 + 3w = 2(7 + 3w) -1 + 3w = (7 * 2 + 3w * 2) -1 + 3w = (14 + 6w) Solving -1 + 3w = 14 + 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. -1 + 3w + -6w = 14 + 6w + -6w Combine like terms: 3w + -6w = -3w -1 + -3w = 14 + 6w + -6w Combine like terms: 6w + -6w = 0 -1 + -3w = 14 + 0 -1 + -3w = 14 Add '1' to each side of the equation. -1 + 1 + -3w = 14 + 1 Combine like terms: -1 + 1 = 0 0 + -3w = 14 + 1 -3w = 14 + 1 Combine like terms: 14 + 1 = 15 -3w = 15 Divide each side by '-3'. w = -5 Simplifying w = -5
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