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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 = -2 -2 + -7t = -10t + 3 Reorder the terms: -2 + -7t = 3 + -10t Solving -2 + -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. -2 + -7t + 10t = 3 + -10t + 10t Combine like terms: -7t + 10t = 3t -2 + 3t = 3 + -10t + 10t Combine like terms: -10t + 10t = 0 -2 + 3t = 3 + 0 -2 + 3t = 3 Add '2' to each side of the equation. -2 + 2 + 3t = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 3t = 3 + 2 3t = 3 + 2 Combine like terms: 3 + 2 = 5 3t = 5 Divide each side by '3'. t = 1.666666667 Simplifying t = 1.666666667
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