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Simplifying 8(t + 2) + -3(t + -7) = 8 Reorder the terms: 8(2 + t) + -3(t + -7) = 8 (2 * 8 + t * 8) + -3(t + -7) = 8 (16 + 8t) + -3(t + -7) = 8 Reorder the terms: 16 + 8t + -3(-7 + t) = 8 16 + 8t + (-7 * -3 + t * -3) = 8 16 + 8t + (21 + -3t) = 8 Reorder the terms: 16 + 21 + 8t + -3t = 8 Combine like terms: 16 + 21 = 37 37 + 8t + -3t = 8 Combine like terms: 8t + -3t = 5t 37 + 5t = 8 Solving 37 + 5t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 5t = 8 + -37 Combine like terms: 37 + -37 = 0 0 + 5t = 8 + -37 5t = 8 + -37 Combine like terms: 8 + -37 = -29 5t = -29 Divide each side by '5'. t = -5.8 Simplifying t = -5.8
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