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Simplifying 7(10 + -3w) = (15 + -4w) (10 * 7 + -3w * 7) = (15 + -4w) (70 + -21w) = (15 + -4w) Remove parenthesis around (15 + -4w) 70 + -21w = 15 + -4w Solving 70 + -21w = 15 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 70 + -21w + 4w = 15 + -4w + 4w Combine like terms: -21w + 4w = -17w 70 + -17w = 15 + -4w + 4w Combine like terms: -4w + 4w = 0 70 + -17w = 15 + 0 70 + -17w = 15 Add '-70' to each side of the equation. 70 + -70 + -17w = 15 + -70 Combine like terms: 70 + -70 = 0 0 + -17w = 15 + -70 -17w = 15 + -70 Combine like terms: 15 + -70 = -55 -17w = -55 Divide each side by '-17'. w = 3.235294118 Simplifying w = 3.235294118
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