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Simplifying -7(w + 9) + -1(7 + -4w) = -2w Reorder the terms: -7(9 + w) + -1(7 + -4w) = -2w (9 * -7 + w * -7) + -1(7 + -4w) = -2w (-63 + -7w) + -1(7 + -4w) = -2w -63 + -7w + (7 * -1 + -4w * -1) = -2w -63 + -7w + (-7 + 4w) = -2w Reorder the terms: -63 + -7 + -7w + 4w = -2w Combine like terms: -63 + -7 = -70 -70 + -7w + 4w = -2w Combine like terms: -7w + 4w = -3w -70 + -3w = -2w Solving -70 + -3w = -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -70 + -3w + 2w = -2w + 2w Combine like terms: -3w + 2w = -1w -70 + -1w = -2w + 2w Combine like terms: -2w + 2w = 0 -70 + -1w = 0 Add '70' to each side of the equation. -70 + 70 + -1w = 0 + 70 Combine like terms: -70 + 70 = 0 0 + -1w = 0 + 70 -1w = 0 + 70 Combine like terms: 0 + 70 = 70 -1w = 70 Divide each side by '-1'. w = -70 Simplifying w = -70
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