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Simplifying 4(w + -3) + -7 = -3(-7w + 5) + -9w Reorder the terms: 4(-3 + w) + -7 = -3(-7w + 5) + -9w (-3 * 4 + w * 4) + -7 = -3(-7w + 5) + -9w (-12 + 4w) + -7 = -3(-7w + 5) + -9w Reorder the terms: -12 + -7 + 4w = -3(-7w + 5) + -9w Combine like terms: -12 + -7 = -19 -19 + 4w = -3(-7w + 5) + -9w Reorder the terms: -19 + 4w = -3(5 + -7w) + -9w -19 + 4w = (5 * -3 + -7w * -3) + -9w -19 + 4w = (-15 + 21w) + -9w Combine like terms: 21w + -9w = 12w -19 + 4w = -15 + 12w Solving -19 + 4w = -15 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -19 + 4w + -12w = -15 + 12w + -12w Combine like terms: 4w + -12w = -8w -19 + -8w = -15 + 12w + -12w Combine like terms: 12w + -12w = 0 -19 + -8w = -15 + 0 -19 + -8w = -15 Add '19' to each side of the equation. -19 + 19 + -8w = -15 + 19 Combine like terms: -19 + 19 = 0 0 + -8w = -15 + 19 -8w = -15 + 19 Combine like terms: -15 + 19 = 4 -8w = 4 Divide each side by '-8'. w = -0.5 Simplifying w = -0.5
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