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Simplifying 7(10 + -3w) = 5(15 + -1aw) (10 * 7 + -3w * 7) = 5(15 + -1aw) (70 + -21w) = 5(15 + -1aw) 70 + -21w = (15 * 5 + -1aw * 5) 70 + -21w = (75 + -5aw) Solving 70 + -21w = 75 + -5aw Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5aw' to each side of the equation. 70 + 5aw + -21w = 75 + -5aw + 5aw Combine like terms: -5aw + 5aw = 0 70 + 5aw + -21w = 75 + 0 70 + 5aw + -21w = 75 Add '-70' to each side of the equation. 70 + 5aw + -70 + -21w = 75 + -70 Reorder the terms: 70 + -70 + 5aw + -21w = 75 + -70 Combine like terms: 70 + -70 = 0 0 + 5aw + -21w = 75 + -70 5aw + -21w = 75 + -70 Combine like terms: 75 + -70 = 5 5aw + -21w = 5 Reorder the terms: -5 + 5aw + -21w = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 5aw + -21w = 0 The solution to this equation could not be determined.
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