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Simplifying 4(w + -3) + -1 = -3(-4w + 5) + -4w Reorder the terms: 4(-3 + w) + -1 = -3(-4w + 5) + -4w (-3 * 4 + w * 4) + -1 = -3(-4w + 5) + -4w (-12 + 4w) + -1 = -3(-4w + 5) + -4w Reorder the terms: -12 + -1 + 4w = -3(-4w + 5) + -4w Combine like terms: -12 + -1 = -13 -13 + 4w = -3(-4w + 5) + -4w Reorder the terms: -13 + 4w = -3(5 + -4w) + -4w -13 + 4w = (5 * -3 + -4w * -3) + -4w -13 + 4w = (-15 + 12w) + -4w Combine like terms: 12w + -4w = 8w -13 + 4w = -15 + 8w Solving -13 + 4w = -15 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -13 + 4w + -8w = -15 + 8w + -8w Combine like terms: 4w + -8w = -4w -13 + -4w = -15 + 8w + -8w Combine like terms: 8w + -8w = 0 -13 + -4w = -15 + 0 -13 + -4w = -15 Add '13' to each side of the equation. -13 + 13 + -4w = -15 + 13 Combine like terms: -13 + 13 = 0 0 + -4w = -15 + 13 -4w = -15 + 13 Combine like terms: -15 + 13 = -2 -4w = -2 Divide each side by '-4'. w = 0.5 Simplifying w = 0.5
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