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Simplifying -1(6w + -1) = 3(w + -4) Reorder the terms: -1(-1 + 6w) = 3(w + -4) (-1 * -1 + 6w * -1) = 3(w + -4) (1 + -6w) = 3(w + -4) Reorder the terms: 1 + -6w = 3(-4 + w) 1 + -6w = (-4 * 3 + w * 3) 1 + -6w = (-12 + 3w) Solving 1 + -6w = -12 + 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. 1 + -6w + -3w = -12 + 3w + -3w Combine like terms: -6w + -3w = -9w 1 + -9w = -12 + 3w + -3w Combine like terms: 3w + -3w = 0 1 + -9w = -12 + 0 1 + -9w = -12 Add '-1' to each side of the equation. 1 + -1 + -9w = -12 + -1 Combine like terms: 1 + -1 = 0 0 + -9w = -12 + -1 -9w = -12 + -1 Combine like terms: -12 + -1 = -13 -9w = -13 Divide each side by '-9'. w = 1.444444444 Simplifying w = 1.444444444
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