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Simplifying 4(-1w + -4) + -7(3w + -7) = w + 3 + -6w Reorder the terms: 4(-4 + -1w) + -7(3w + -7) = w + 3 + -6w (-4 * 4 + -1w * 4) + -7(3w + -7) = w + 3 + -6w (-16 + -4w) + -7(3w + -7) = w + 3 + -6w Reorder the terms: -16 + -4w + -7(-7 + 3w) = w + 3 + -6w -16 + -4w + (-7 * -7 + 3w * -7) = w + 3 + -6w -16 + -4w + (49 + -21w) = w + 3 + -6w Reorder the terms: -16 + 49 + -4w + -21w = w + 3 + -6w Combine like terms: -16 + 49 = 33 33 + -4w + -21w = w + 3 + -6w Combine like terms: -4w + -21w = -25w 33 + -25w = w + 3 + -6w Reorder the terms: 33 + -25w = 3 + w + -6w Combine like terms: w + -6w = -5w 33 + -25w = 3 + -5w Solving 33 + -25w = 3 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 33 + -25w + 5w = 3 + -5w + 5w Combine like terms: -25w + 5w = -20w 33 + -20w = 3 + -5w + 5w Combine like terms: -5w + 5w = 0 33 + -20w = 3 + 0 33 + -20w = 3 Add '-33' to each side of the equation. 33 + -33 + -20w = 3 + -33 Combine like terms: 33 + -33 = 0 0 + -20w = 3 + -33 -20w = 3 + -33 Combine like terms: 3 + -33 = -30 -20w = -30 Divide each side by '-20'. w = 1.5 Simplifying w = 1.5
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