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Simplifying 10t + 5 = -1 + 3(3t + -3) Reorder the terms: 5 + 10t = -1 + 3(3t + -3) Reorder the terms: 5 + 10t = -1 + 3(-3 + 3t) 5 + 10t = -1 + (-3 * 3 + 3t * 3) 5 + 10t = -1 + (-9 + 9t) Combine like terms: -1 + -9 = -10 5 + 10t = -10 + 9t Solving 5 + 10t = -10 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 5 + 10t + -9t = -10 + 9t + -9t Combine like terms: 10t + -9t = 1t 5 + 1t = -10 + 9t + -9t Combine like terms: 9t + -9t = 0 5 + 1t = -10 + 0 5 + 1t = -10 Add '-5' to each side of the equation. 5 + -5 + 1t = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 1t = -10 + -5 1t = -10 + -5 Combine like terms: -10 + -5 = -15 1t = -15 Divide each side by '1'. t = -15 Simplifying t = -15
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