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Simplifying -8(w + 6) + -1(-2 + -8) = -7w Reorder the terms: -8(6 + w) + -1(-2 + -8) = -7w (6 * -8 + w * -8) + -1(-2 + -8) = -7w (-48 + -8w) + -1(-2 + -8) = -7w Combine like terms: -2 + -8 = -10 -48 + -8w + -1(-10) = -7w Multiply -1 * -10 -48 + -8w + 10 = -7w Reorder the terms: -48 + 10 + -8w = -7w Combine like terms: -48 + 10 = -38 -38 + -8w = -7w Solving -38 + -8w = -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. -38 + -8w + 7w = -7w + 7w Combine like terms: -8w + 7w = -1w -38 + -1w = -7w + 7w Combine like terms: -7w + 7w = 0 -38 + -1w = 0 Add '38' to each side of the equation. -38 + 38 + -1w = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -1w = 0 + 38 -1w = 0 + 38 Combine like terms: 0 + 38 = 38 -1w = 38 Divide each side by '-1'. w = -38 Simplifying w = -38
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