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Simplifying -4(-8 + 8) + -9w = 7(w + -3) + -1 Combine like terms: -8 + 8 = 0 -4(0) + -9w = 7(w + -3) + -1 Multiply -4 * 0 0 + -9w = 7(w + -3) + -1 Anything times zero is zero. 0 + -9w = 7(w + -3) + -1 Remove the zero: -9w = 7(w + -3) + -1 Reorder the terms: -9w = 7(-3 + w) + -1 -9w = (-3 * 7 + w * 7) + -1 -9w = (-21 + 7w) + -1 Reorder the terms: -9w = -21 + -1 + 7w Combine like terms: -21 + -1 = -22 -9w = -22 + 7w Solving -9w = -22 + 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. -9w + -7w = -22 + 7w + -7w Combine like terms: -9w + -7w = -16w -16w = -22 + 7w + -7w Combine like terms: 7w + -7w = 0 -16w = -22 + 0 -16w = -22 Divide each side by '-16'. w = 1.375 Simplifying w = 1.375
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