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Simplifying -6(w + 6) + -1(2 + 6w) = -13w Reorder the terms: -6(6 + w) + -1(2 + 6w) = -13w (6 * -6 + w * -6) + -1(2 + 6w) = -13w (-36 + -6w) + -1(2 + 6w) = -13w -36 + -6w + (2 * -1 + 6w * -1) = -13w -36 + -6w + (-2 + -6w) = -13w Reorder the terms: -36 + -2 + -6w + -6w = -13w Combine like terms: -36 + -2 = -38 -38 + -6w + -6w = -13w Combine like terms: -6w + -6w = -12w -38 + -12w = -13w Solving -38 + -12w = -13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13w' to each side of the equation. -38 + -12w + 13w = -13w + 13w Combine like terms: -12w + 13w = 1w -38 + 1w = -13w + 13w Combine like terms: -13w + 13w = 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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