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Simplifying -4(4w + 20) + -15 = -6w + 17 + 18 Reorder the terms: -4(20 + 4w) + -15 = -6w + 17 + 18 (20 * -4 + 4w * -4) + -15 = -6w + 17 + 18 (-80 + -16w) + -15 = -6w + 17 + 18 Reorder the terms: -80 + -15 + -16w = -6w + 17 + 18 Combine like terms: -80 + -15 = -95 -95 + -16w = -6w + 17 + 18 Reorder the terms: -95 + -16w = 17 + 18 + -6w Combine like terms: 17 + 18 = 35 -95 + -16w = 35 + -6w Solving -95 + -16w = 35 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -95 + -16w + 6w = 35 + -6w + 6w Combine like terms: -16w + 6w = -10w -95 + -10w = 35 + -6w + 6w Combine like terms: -6w + 6w = 0 -95 + -10w = 35 + 0 -95 + -10w = 35 Add '95' to each side of the equation. -95 + 95 + -10w = 35 + 95 Combine like terms: -95 + 95 = 0 0 + -10w = 35 + 95 -10w = 35 + 95 Combine like terms: 35 + 95 = 130 -10w = 130 Divide each side by '-10'. w = -13 Simplifying w = -13
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