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Simplifying 2(w + -3) + -1 = -3(-7w + 1) + -9w Reorder the terms: 2(-3 + w) + -1 = -3(-7w + 1) + -9w (-3 * 2 + w * 2) + -1 = -3(-7w + 1) + -9w (-6 + 2w) + -1 = -3(-7w + 1) + -9w Reorder the terms: -6 + -1 + 2w = -3(-7w + 1) + -9w Combine like terms: -6 + -1 = -7 -7 + 2w = -3(-7w + 1) + -9w Reorder the terms: -7 + 2w = -3(1 + -7w) + -9w -7 + 2w = (1 * -3 + -7w * -3) + -9w -7 + 2w = (-3 + 21w) + -9w Combine like terms: 21w + -9w = 12w -7 + 2w = -3 + 12w Solving -7 + 2w = -3 + 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. -7 + 2w + -12w = -3 + 12w + -12w Combine like terms: 2w + -12w = -10w -7 + -10w = -3 + 12w + -12w Combine like terms: 12w + -12w = 0 -7 + -10w = -3 + 0 -7 + -10w = -3 Add '7' to each side of the equation. -7 + 7 + -10w = -3 + 7 Combine like terms: -7 + 7 = 0 0 + -10w = -3 + 7 -10w = -3 + 7 Combine like terms: -3 + 7 = 4 -10w = 4 Divide each side by '-10'. w = -0.4 Simplifying w = -0.4
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