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Simplifying 6(w + -2) + -5 = -4(-7w + 3) + -7w Reorder the terms: 6(-2 + w) + -5 = -4(-7w + 3) + -7w (-2 * 6 + w * 6) + -5 = -4(-7w + 3) + -7w (-12 + 6w) + -5 = -4(-7w + 3) + -7w Reorder the terms: -12 + -5 + 6w = -4(-7w + 3) + -7w Combine like terms: -12 + -5 = -17 -17 + 6w = -4(-7w + 3) + -7w Reorder the terms: -17 + 6w = -4(3 + -7w) + -7w -17 + 6w = (3 * -4 + -7w * -4) + -7w -17 + 6w = (-12 + 28w) + -7w Combine like terms: 28w + -7w = 21w -17 + 6w = -12 + 21w Solving -17 + 6w = -12 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. -17 + 6w + -21w = -12 + 21w + -21w Combine like terms: 6w + -21w = -15w -17 + -15w = -12 + 21w + -21w Combine like terms: 21w + -21w = 0 -17 + -15w = -12 + 0 -17 + -15w = -12 Add '17' to each side of the equation. -17 + 17 + -15w = -12 + 17 Combine like terms: -17 + 17 = 0 0 + -15w = -12 + 17 -15w = -12 + 17 Combine like terms: -12 + 17 = 5 -15w = 5 Divide each side by '-15'. w = -0.3333333333 Simplifying w = -0.3333333333
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