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Simplifying 21 + -1(2t + 17) = -7 + -3t Reorder the terms: 21 + -1(17 + 2t) = -7 + -3t 21 + (17 * -1 + 2t * -1) = -7 + -3t 21 + (-17 + -2t) = -7 + -3t Combine like terms: 21 + -17 = 4 4 + -2t = -7 + -3t Solving 4 + -2t = -7 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 4 + -2t + 3t = -7 + -3t + 3t Combine like terms: -2t + 3t = 1t 4 + 1t = -7 + -3t + 3t Combine like terms: -3t + 3t = 0 4 + 1t = -7 + 0 4 + 1t = -7 Add '-4' to each side of the equation. 4 + -4 + 1t = -7 + -4 Combine like terms: 4 + -4 = 0 0 + 1t = -7 + -4 1t = -7 + -4 Combine like terms: -7 + -4 = -11 1t = -11 Divide each side by '1'. t = -11 Simplifying t = -11
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