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Simplifying 5 + -7(t + -1) = -10t + 3 Reorder the terms: 5 + -7(-1 + t) = -10t + 3 5 + (-1 * -7 + t * -7) = -10t + 3 5 + (7 + -7t) = -10t + 3 Combine like terms: 5 + 7 = 12 12 + -7t = -10t + 3 Reorder the terms: 12 + -7t = 3 + -10t Solving 12 + -7t = 3 + -10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10t' to each side of the equation. 12 + -7t + 10t = 3 + -10t + 10t Combine like terms: -7t + 10t = 3t 12 + 3t = 3 + -10t + 10t Combine like terms: -10t + 10t = 0 12 + 3t = 3 + 0 12 + 3t = 3 Add '-12' to each side of the equation. 12 + -12 + 3t = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 3t = 3 + -12 3t = 3 + -12 Combine like terms: 3 + -12 = -9 3t = -9 Divide each side by '3'. t = -3 Simplifying t = -3
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