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Simplifying -1(6w + -1) + 3(w + -4) = 0 Reorder the terms: -1(-1 + 6w) + 3(w + -4) = 0 (-1 * -1 + 6w * -1) + 3(w + -4) = 0 (1 + -6w) + 3(w + -4) = 0 Reorder the terms: 1 + -6w + 3(-4 + w) = 0 1 + -6w + (-4 * 3 + w * 3) = 0 1 + -6w + (-12 + 3w) = 0 Reorder the terms: 1 + -12 + -6w + 3w = 0 Combine like terms: 1 + -12 = -11 -11 + -6w + 3w = 0 Combine like terms: -6w + 3w = -3w -11 + -3w = 0 Solving -11 + -3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3w = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3w = 0 + 11 -3w = 0 + 11 Combine like terms: 0 + 11 = 11 -3w = 11 Divide each side by '-3'. w = -3.666666667 Simplifying w = -3.666666667
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