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Simplifying 5 + -7(t + -1) = -10 + 3 Reorder the terms: 5 + -7(-1 + t) = -10 + 3 5 + (-1 * -7 + t * -7) = -10 + 3 5 + (7 + -7t) = -10 + 3 Combine like terms: 5 + 7 = 12 12 + -7t = -10 + 3 Combine like terms: -10 + 3 = -7 12 + -7t = -7 Solving 12 + -7t = -7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7t = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -7t = -7 + -12 -7t = -7 + -12 Combine like terms: -7 + -12 = -19 -7t = -19 Divide each side by '-7'. t = 2.714285714 Simplifying t = 2.714285714
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