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Simplifying -2(-3w + 5) + -7w = 7(w + -2) + -6 Reorder the terms: -2(5 + -3w) + -7w = 7(w + -2) + -6 (5 * -2 + -3w * -2) + -7w = 7(w + -2) + -6 (-10 + 6w) + -7w = 7(w + -2) + -6 Combine like terms: 6w + -7w = -1w -10 + -1w = 7(w + -2) + -6 Reorder the terms: -10 + -1w = 7(-2 + w) + -6 -10 + -1w = (-2 * 7 + w * 7) + -6 -10 + -1w = (-14 + 7w) + -6 Reorder the terms: -10 + -1w = -14 + -6 + 7w Combine like terms: -14 + -6 = -20 -10 + -1w = -20 + 7w Solving -10 + -1w = -20 + 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. -10 + -1w + -7w = -20 + 7w + -7w Combine like terms: -1w + -7w = -8w -10 + -8w = -20 + 7w + -7w Combine like terms: 7w + -7w = 0 -10 + -8w = -20 + 0 -10 + -8w = -20 Add '10' to each side of the equation. -10 + 10 + -8w = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -8w = -20 + 10 -8w = -20 + 10 Combine like terms: -20 + 10 = -10 -8w = -10 Divide each side by '-8'. w = 1.25 Simplifying w = 1.25
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