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Simplifying -8(t + -7) + -1(t + 8) = 3 Reorder the terms: -8(-7 + t) + -1(t + 8) = 3 (-7 * -8 + t * -8) + -1(t + 8) = 3 (56 + -8t) + -1(t + 8) = 3 Reorder the terms: 56 + -8t + -1(8 + t) = 3 56 + -8t + (8 * -1 + t * -1) = 3 56 + -8t + (-8 + -1t) = 3 Reorder the terms: 56 + -8 + -8t + -1t = 3 Combine like terms: 56 + -8 = 48 48 + -8t + -1t = 3 Combine like terms: -8t + -1t = -9t 48 + -9t = 3 Solving 48 + -9t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -9t = 3 + -48 Combine like terms: 48 + -48 = 0 0 + -9t = 3 + -48 -9t = 3 + -48 Combine like terms: 3 + -48 = -45 -9t = -45 Divide each side by '-9'. t = 5 Simplifying t = 5
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