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Simplifying -8(t + -8) + -3(3t + 1) = -7 Reorder the terms: -8(-8 + t) + -3(3t + 1) = -7 (-8 * -8 + t * -8) + -3(3t + 1) = -7 (64 + -8t) + -3(3t + 1) = -7 Reorder the terms: 64 + -8t + -3(1 + 3t) = -7 64 + -8t + (1 * -3 + 3t * -3) = -7 64 + -8t + (-3 + -9t) = -7 Reorder the terms: 64 + -3 + -8t + -9t = -7 Combine like terms: 64 + -3 = 61 61 + -8t + -9t = -7 Combine like terms: -8t + -9t = -17t 61 + -17t = -7 Solving 61 + -17t = -7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + -17t = -7 + -61 Combine like terms: 61 + -61 = 0 0 + -17t = -7 + -61 -17t = -7 + -61 Combine like terms: -7 + -61 = -68 -17t = -68 Divide each side by '-17'. t = 4 Simplifying t = 4
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