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Simplifying 4w + -45 = 7(w + -3) Reorder the terms: -45 + 4w = 7(w + -3) Reorder the terms: -45 + 4w = 7(-3 + w) -45 + 4w = (-3 * 7 + w * 7) -45 + 4w = (-21 + 7w) Solving -45 + 4w = -21 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -45 + 4w + -7w = -21 + 7w + -7w Combine like terms: 4w + -7w = -3w -45 + -3w = -21 + 7w + -7w Combine like terms: 7w + -7w = 0 -45 + -3w = -21 + 0 -45 + -3w = -21 Add '45' to each side of the equation. -45 + 45 + -3w = -21 + 45 Combine like terms: -45 + 45 = 0 0 + -3w = -21 + 45 -3w = -21 + 45 Combine like terms: -21 + 45 = 24 -3w = 24 Divide each side by '-3'. w = -8 Simplifying w = -8
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