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Simplifying 7(w + -2) + -6 = -4(-6w + 2) + -7w Reorder the terms: 7(-2 + w) + -6 = -4(-6w + 2) + -7w (-2 * 7 + w * 7) + -6 = -4(-6w + 2) + -7w (-14 + 7w) + -6 = -4(-6w + 2) + -7w Reorder the terms: -14 + -6 + 7w = -4(-6w + 2) + -7w Combine like terms: -14 + -6 = -20 -20 + 7w = -4(-6w + 2) + -7w Reorder the terms: -20 + 7w = -4(2 + -6w) + -7w -20 + 7w = (2 * -4 + -6w * -4) + -7w -20 + 7w = (-8 + 24w) + -7w Combine like terms: 24w + -7w = 17w -20 + 7w = -8 + 17w Solving -20 + 7w = -8 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -20 + 7w + -17w = -8 + 17w + -17w Combine like terms: 7w + -17w = -10w -20 + -10w = -8 + 17w + -17w Combine like terms: 17w + -17w = 0 -20 + -10w = -8 + 0 -20 + -10w = -8 Add '20' to each side of the equation. -20 + 20 + -10w = -8 + 20 Combine like terms: -20 + 20 = 0 0 + -10w = -8 + 20 -10w = -8 + 20 Combine like terms: -8 + 20 = 12 -10w = 12 Divide each side by '-10'. w = -1.2 Simplifying w = -1.2
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