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Simplifying 0.3w + 4w + -7(4 + 9w) = 8 + 2 0.3w + 4w + (4 * -7 + 9w * -7) = 8 + 2 0.3w + 4w + (-28 + -63w) = 8 + 2 Reorder the terms: -28 + 0.3w + 4w + -63w = 8 + 2 Combine like terms: 0.3w + 4w = 4.3w -28 + 4.3w + -63w = 8 + 2 Combine like terms: 4.3w + -63w = -58.7w -28 + -58.7w = 8 + 2 Combine like terms: 8 + 2 = 10 -28 + -58.7w = 10 Solving -28 + -58.7w = 10 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -58.7w = 10 + 28 Combine like terms: -28 + 28 = 0 0 + -58.7w = 10 + 28 -58.7w = 10 + 28 Combine like terms: 10 + 28 = 38 -58.7w = 38 Divide each side by '-58.7'. w = -0.6473594549 Simplifying w = -0.6473594549
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