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Simplifying 8(t + 10) + z = 98 Reorder the terms: 8(10 + t) + z = 98 (10 * 8 + t * 8) + z = 98 (80 + 8t) + z = 98 Solving 80 + 8t + z = 98 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + 8t + -80 + z = 98 + -80 Reorder the terms: 80 + -80 + 8t + z = 98 + -80 Combine like terms: 80 + -80 = 0 0 + 8t + z = 98 + -80 8t + z = 98 + -80 Combine like terms: 98 + -80 = 18 8t + z = 18 Add '-1z' to each side of the equation. 8t + z + -1z = 18 + -1z Combine like terms: z + -1z = 0 8t + 0 = 18 + -1z 8t = 18 + -1z Divide each side by '8'. t = 2.25 + -0.125z Simplifying t = 2.25 + -0.125z
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