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Simplifying -3(-1w + -8) + -7(4w + -6) = w + 6 + 2w Reorder the terms: -3(-8 + -1w) + -7(4w + -6) = w + 6 + 2w (-8 * -3 + -1w * -3) + -7(4w + -6) = w + 6 + 2w (24 + 3w) + -7(4w + -6) = w + 6 + 2w Reorder the terms: 24 + 3w + -7(-6 + 4w) = w + 6 + 2w 24 + 3w + (-6 * -7 + 4w * -7) = w + 6 + 2w 24 + 3w + (42 + -28w) = w + 6 + 2w Reorder the terms: 24 + 42 + 3w + -28w = w + 6 + 2w Combine like terms: 24 + 42 = 66 66 + 3w + -28w = w + 6 + 2w Combine like terms: 3w + -28w = -25w 66 + -25w = w + 6 + 2w Reorder the terms: 66 + -25w = 6 + w + 2w Combine like terms: w + 2w = 3w 66 + -25w = 6 + 3w Solving 66 + -25w = 6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 66 + -25w + -3w = 6 + 3w + -3w Combine like terms: -25w + -3w = -28w 66 + -28w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 66 + -28w = 6 + 0 66 + -28w = 6 Add '-66' to each side of the equation. 66 + -66 + -28w = 6 + -66 Combine like terms: 66 + -66 = 0 0 + -28w = 6 + -66 -28w = 6 + -66 Combine like terms: 6 + -66 = -60 -28w = -60 Divide each side by '-28'. w = 2.142857143 Simplifying w = 2.142857143
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