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Simplifying 4(w + -1) + 7 = 5(2w + -3) Reorder the terms: 4(-1 + w) + 7 = 5(2w + -3) (-1 * 4 + w * 4) + 7 = 5(2w + -3) (-4 + 4w) + 7 = 5(2w + -3) Reorder the terms: -4 + 7 + 4w = 5(2w + -3) Combine like terms: -4 + 7 = 3 3 + 4w = 5(2w + -3) Reorder the terms: 3 + 4w = 5(-3 + 2w) 3 + 4w = (-3 * 5 + 2w * 5) 3 + 4w = (-15 + 10w) Solving 3 + 4w = -15 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 3 + 4w + -10w = -15 + 10w + -10w Combine like terms: 4w + -10w = -6w 3 + -6w = -15 + 10w + -10w Combine like terms: 10w + -10w = 0 3 + -6w = -15 + 0 3 + -6w = -15 Add '-3' to each side of the equation. 3 + -3 + -6w = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -6w = -15 + -3 -6w = -15 + -3 Combine like terms: -15 + -3 = -18 -6w = -18 Divide each side by '-6'. w = 3 Simplifying w = 3
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