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Simplifying 7(w + -1) + -4 = -3(-6w + 1) + -1w Reorder the terms: 7(-1 + w) + -4 = -3(-6w + 1) + -1w (-1 * 7 + w * 7) + -4 = -3(-6w + 1) + -1w (-7 + 7w) + -4 = -3(-6w + 1) + -1w Reorder the terms: -7 + -4 + 7w = -3(-6w + 1) + -1w Combine like terms: -7 + -4 = -11 -11 + 7w = -3(-6w + 1) + -1w Reorder the terms: -11 + 7w = -3(1 + -6w) + -1w -11 + 7w = (1 * -3 + -6w * -3) + -1w -11 + 7w = (-3 + 18w) + -1w Combine like terms: 18w + -1w = 17w -11 + 7w = -3 + 17w Solving -11 + 7w = -3 + 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. -11 + 7w + -17w = -3 + 17w + -17w Combine like terms: 7w + -17w = -10w -11 + -10w = -3 + 17w + -17w Combine like terms: 17w + -17w = 0 -11 + -10w = -3 + 0 -11 + -10w = -3 Add '11' to each side of the equation. -11 + 11 + -10w = -3 + 11 Combine like terms: -11 + 11 = 0 0 + -10w = -3 + 11 -10w = -3 + 11 Combine like terms: -3 + 11 = 8 -10w = 8 Divide each side by '-10'. w = -0.8 Simplifying w = -0.8
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