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Simplifying 8(t + 7) + w = 0 Reorder the terms: 8(7 + t) + w = 0 (7 * 8 + t * 8) + w = 0 (56 + 8t) + w = 0 Solving 56 + 8t + w = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + 8t + -56 + w = 0 + -56 Reorder the terms: 56 + -56 + 8t + w = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 8t + w = 0 + -56 8t + w = 0 + -56 Combine like terms: 0 + -56 = -56 8t + w = -56 Add '-1w' to each side of the equation. 8t + w + -1w = -56 + -1w Combine like terms: w + -1w = 0 8t + 0 = -56 + -1w 8t = -56 + -1w Divide each side by '8'. t = -7 + -0.125w Simplifying t = -7 + -0.125w
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