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Simplifying 4(w + -1) + -7 = -3(-6w + 5) + -4w Reorder the terms: 4(-1 + w) + -7 = -3(-6w + 5) + -4w (-1 * 4 + w * 4) + -7 = -3(-6w + 5) + -4w (-4 + 4w) + -7 = -3(-6w + 5) + -4w Reorder the terms: -4 + -7 + 4w = -3(-6w + 5) + -4w Combine like terms: -4 + -7 = -11 -11 + 4w = -3(-6w + 5) + -4w Reorder the terms: -11 + 4w = -3(5 + -6w) + -4w -11 + 4w = (5 * -3 + -6w * -3) + -4w -11 + 4w = (-15 + 18w) + -4w Combine like terms: 18w + -4w = 14w -11 + 4w = -15 + 14w Solving -11 + 4w = -15 + 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. -11 + 4w + -14w = -15 + 14w + -14w Combine like terms: 4w + -14w = -10w -11 + -10w = -15 + 14w + -14w Combine like terms: 14w + -14w = 0 -11 + -10w = -15 + 0 -11 + -10w = -15 Add '11' to each side of the equation. -11 + 11 + -10w = -15 + 11 Combine like terms: -11 + 11 = 0 0 + -10w = -15 + 11 -10w = -15 + 11 Combine like terms: -15 + 11 = -4 -10w = -4 Divide each side by '-10'. w = 0.4 Simplifying w = 0.4
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