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Simplifying 2(4w + 1) = -10(x + -3) + 4 Reorder the terms: 2(1 + 4w) = -10(x + -3) + 4 (1 * 2 + 4w * 2) = -10(x + -3) + 4 (2 + 8w) = -10(x + -3) + 4 Reorder the terms: 2 + 8w = -10(-3 + x) + 4 2 + 8w = (-3 * -10 + x * -10) + 4 2 + 8w = (30 + -10x) + 4 Reorder the terms: 2 + 8w = 30 + 4 + -10x Combine like terms: 30 + 4 = 34 2 + 8w = 34 + -10x Solving 2 + 8w = 34 + -10x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8w = 34 + -2 + -10x Combine like terms: 2 + -2 = 0 0 + 8w = 34 + -2 + -10x 8w = 34 + -2 + -10x Combine like terms: 34 + -2 = 32 8w = 32 + -10x Divide each side by '8'. w = 4 + -1.25x Simplifying w = 4 + -1.25x
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