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Simplifying (t + 8) = (3t + -7) Reorder the terms: (8 + t) = (3t + -7) Remove parenthesis around (8 + t) 8 + t = (3t + -7) Reorder the terms: 8 + t = (-7 + 3t) Remove parenthesis around (-7 + 3t) 8 + t = -7 + 3t Solving 8 + t = -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. 8 + t + -3t = -7 + 3t + -3t Combine like terms: t + -3t = -2t 8 + -2t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 8 + -2t = -7 + 0 8 + -2t = -7 Add '-8' to each side of the equation. 8 + -8 + -2t = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -2t = -7 + -8 -2t = -7 + -8 Combine like terms: -7 + -8 = -15 -2t = -15 Divide each side by '-2'. t = 7.5 Simplifying t = 7.5
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