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Simplifying 7(10 + -3w) = 5(1 + -15 + -4a) (10 * 7 + -3w * 7) = 5(1 + -15 + -4a) (70 + -21w) = 5(1 + -15 + -4a) Combine like terms: 1 + -15 = -14 70 + -21w = 5(-14 + -4a) 70 + -21w = (-14 * 5 + -4a * 5) 70 + -21w = (-70 + -20a) Solving 70 + -21w = -70 + -20a Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -21w = -70 + -70 + -20a Combine like terms: 70 + -70 = 0 0 + -21w = -70 + -70 + -20a -21w = -70 + -70 + -20a Combine like terms: -70 + -70 = -140 -21w = -140 + -20a Divide each side by '-21'. w = 6.666666667 + 0.9523809524a Simplifying w = 6.666666667 + 0.9523809524a
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