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Simplifying 3(2w + -1) + 10 = 8(y + -3) + 5 Reorder the terms: 3(-1 + 2w) + 10 = 8(y + -3) + 5 (-1 * 3 + 2w * 3) + 10 = 8(y + -3) + 5 (-3 + 6w) + 10 = 8(y + -3) + 5 Reorder the terms: -3 + 10 + 6w = 8(y + -3) + 5 Combine like terms: -3 + 10 = 7 7 + 6w = 8(y + -3) + 5 Reorder the terms: 7 + 6w = 8(-3 + y) + 5 7 + 6w = (-3 * 8 + y * 8) + 5 7 + 6w = (-24 + 8y) + 5 Reorder the terms: 7 + 6w = -24 + 5 + 8y Combine like terms: -24 + 5 = -19 7 + 6w = -19 + 8y Solving 7 + 6w = -19 + 8y Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6w = -19 + -7 + 8y Combine like terms: 7 + -7 = 0 0 + 6w = -19 + -7 + 8y 6w = -19 + -7 + 8y Combine like terms: -19 + -7 = -26 6w = -26 + 8y Divide each side by '6'. w = -4.333333333 + 1.333333333y Simplifying w = -4.333333333 + 1.333333333y
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