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Simplifying -7(-2w + 10) + -15w = -2(-1w + 17) Reorder the terms: -7(10 + -2w) + -15w = -2(-1w + 17) (10 * -7 + -2w * -7) + -15w = -2(-1w + 17) (-70 + 14w) + -15w = -2(-1w + 17) Combine like terms: 14w + -15w = -1w -70 + -1w = -2(-1w + 17) Reorder the terms: -70 + -1w = -2(17 + -1w) -70 + -1w = (17 * -2 + -1w * -2) -70 + -1w = (-34 + 2w) Solving -70 + -1w = -34 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -70 + -1w + -2w = -34 + 2w + -2w Combine like terms: -1w + -2w = -3w -70 + -3w = -34 + 2w + -2w Combine like terms: 2w + -2w = 0 -70 + -3w = -34 + 0 -70 + -3w = -34 Add '70' to each side of the equation. -70 + 70 + -3w = -34 + 70 Combine like terms: -70 + 70 = 0 0 + -3w = -34 + 70 -3w = -34 + 70 Combine like terms: -34 + 70 = 36 -3w = 36 Divide each side by '-3'. w = -12 Simplifying w = -12
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