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Simplifying 7(w + -5) + -3 = -4(-6w + 5) + -7w Reorder the terms: 7(-5 + w) + -3 = -4(-6w + 5) + -7w (-5 * 7 + w * 7) + -3 = -4(-6w + 5) + -7w (-35 + 7w) + -3 = -4(-6w + 5) + -7w Reorder the terms: -35 + -3 + 7w = -4(-6w + 5) + -7w Combine like terms: -35 + -3 = -38 -38 + 7w = -4(-6w + 5) + -7w Reorder the terms: -38 + 7w = -4(5 + -6w) + -7w -38 + 7w = (5 * -4 + -6w * -4) + -7w -38 + 7w = (-20 + 24w) + -7w Combine like terms: 24w + -7w = 17w -38 + 7w = -20 + 17w Solving -38 + 7w = -20 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -38 + 7w + -17w = -20 + 17w + -17w Combine like terms: 7w + -17w = -10w -38 + -10w = -20 + 17w + -17w Combine like terms: 17w + -17w = 0 -38 + -10w = -20 + 0 -38 + -10w = -20 Add '38' to each side of the equation. -38 + 38 + -10w = -20 + 38 Combine like terms: -38 + 38 = 0 0 + -10w = -20 + 38 -10w = -20 + 38 Combine like terms: -20 + 38 = 18 -10w = 18 Divide each side by '-10'. w = -1.8 Simplifying w = -1.8
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