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Simplifying 2(w + -7) + -4 = -4(-5w + 8) + -6w Reorder the terms: 2(-7 + w) + -4 = -4(-5w + 8) + -6w (-7 * 2 + w * 2) + -4 = -4(-5w + 8) + -6w (-14 + 2w) + -4 = -4(-5w + 8) + -6w Reorder the terms: -14 + -4 + 2w = -4(-5w + 8) + -6w Combine like terms: -14 + -4 = -18 -18 + 2w = -4(-5w + 8) + -6w Reorder the terms: -18 + 2w = -4(8 + -5w) + -6w -18 + 2w = (8 * -4 + -5w * -4) + -6w -18 + 2w = (-32 + 20w) + -6w Combine like terms: 20w + -6w = 14w -18 + 2w = -32 + 14w Solving -18 + 2w = -32 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -18 + 2w + -14w = -32 + 14w + -14w Combine like terms: 2w + -14w = -12w -18 + -12w = -32 + 14w + -14w Combine like terms: 14w + -14w = 0 -18 + -12w = -32 + 0 -18 + -12w = -32 Add '18' to each side of the equation. -18 + 18 + -12w = -32 + 18 Combine like terms: -18 + 18 = 0 0 + -12w = -32 + 18 -12w = -32 + 18 Combine like terms: -32 + 18 = -14 -12w = -14 Divide each side by '-12'. w = 1.166666667 Simplifying w = 1.166666667
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