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Simplifying 8 + -2(t + -1) = t + 7 Reorder the terms: 8 + -2(-1 + t) = t + 7 8 + (-1 * -2 + t * -2) = t + 7 8 + (2 + -2t) = t + 7 Combine like terms: 8 + 2 = 10 10 + -2t = t + 7 Reorder the terms: 10 + -2t = 7 + t Solving 10 + -2t = 7 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 10 + -2t + -1t = 7 + t + -1t Combine like terms: -2t + -1t = -3t 10 + -3t = 7 + t + -1t Combine like terms: t + -1t = 0 10 + -3t = 7 + 0 10 + -3t = 7 Add '-10' to each side of the equation. 10 + -10 + -3t = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -3t = 7 + -10 -3t = 7 + -10 Combine like terms: 7 + -10 = -3 -3t = -3 Divide each side by '-3'. t = 1 Simplifying t = 1
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