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Simplifying -3(-9w + 1) + -6w = 7(w + -2) + -5 Reorder the terms: -3(1 + -9w) + -6w = 7(w + -2) + -5 (1 * -3 + -9w * -3) + -6w = 7(w + -2) + -5 (-3 + 27w) + -6w = 7(w + -2) + -5 Combine like terms: 27w + -6w = 21w -3 + 21w = 7(w + -2) + -5 Reorder the terms: -3 + 21w = 7(-2 + w) + -5 -3 + 21w = (-2 * 7 + w * 7) + -5 -3 + 21w = (-14 + 7w) + -5 Reorder the terms: -3 + 21w = -14 + -5 + 7w Combine like terms: -14 + -5 = -19 -3 + 21w = -19 + 7w Solving -3 + 21w = -19 + 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. -3 + 21w + -7w = -19 + 7w + -7w Combine like terms: 21w + -7w = 14w -3 + 14w = -19 + 7w + -7w Combine like terms: 7w + -7w = 0 -3 + 14w = -19 + 0 -3 + 14w = -19 Add '3' to each side of the equation. -3 + 3 + 14w = -19 + 3 Combine like terms: -3 + 3 = 0 0 + 14w = -19 + 3 14w = -19 + 3 Combine like terms: -19 + 3 = -16 14w = -16 Divide each side by '14'. w = -1.142857143 Simplifying w = -1.142857143
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