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Simplifying -18 + 4(3w + -20) = -2(-14w + -7) Reorder the terms: -18 + 4(-20 + 3w) = -2(-14w + -7) -18 + (-20 * 4 + 3w * 4) = -2(-14w + -7) -18 + (-80 + 12w) = -2(-14w + -7) Combine like terms: -18 + -80 = -98 -98 + 12w = -2(-14w + -7) Reorder the terms: -98 + 12w = -2(-7 + -14w) -98 + 12w = (-7 * -2 + -14w * -2) -98 + 12w = (14 + 28w) Solving -98 + 12w = 14 + 28w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28w' to each side of the equation. -98 + 12w + -28w = 14 + 28w + -28w Combine like terms: 12w + -28w = -16w -98 + -16w = 14 + 28w + -28w Combine like terms: 28w + -28w = 0 -98 + -16w = 14 + 0 -98 + -16w = 14 Add '98' to each side of the equation. -98 + 98 + -16w = 14 + 98 Combine like terms: -98 + 98 = 0 0 + -16w = 14 + 98 -16w = 14 + 98 Combine like terms: 14 + 98 = 112 -16w = 112 Divide each side by '-16'. w = -7 Simplifying w = -7
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