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Simplifying (32t + -12) = -8t + 13 Reorder the terms: (-12 + 32t) = -8t + 13 Remove parenthesis around (-12 + 32t) -12 + 32t = -8t + 13 Reorder the terms: -12 + 32t = 13 + -8t Solving -12 + 32t = 13 + -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. -12 + 32t + 8t = 13 + -8t + 8t Combine like terms: 32t + 8t = 40t -12 + 40t = 13 + -8t + 8t Combine like terms: -8t + 8t = 0 -12 + 40t = 13 + 0 -12 + 40t = 13 Add '12' to each side of the equation. -12 + 12 + 40t = 13 + 12 Combine like terms: -12 + 12 = 0 0 + 40t = 13 + 12 40t = 13 + 12 Combine like terms: 13 + 12 = 25 40t = 25 Divide each side by '40'. t = 0.625 Simplifying t = 0.625
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