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Simplifying 4(-6t + 13) + 6t = 3t + -20 + -12t Reorder the terms: 4(13 + -6t) + 6t = 3t + -20 + -12t (13 * 4 + -6t * 4) + 6t = 3t + -20 + -12t (52 + -24t) + 6t = 3t + -20 + -12t Combine like terms: -24t + 6t = -18t 52 + -18t = 3t + -20 + -12t Reorder the terms: 52 + -18t = -20 + 3t + -12t Combine like terms: 3t + -12t = -9t 52 + -18t = -20 + -9t Solving 52 + -18t = -20 + -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. 52 + -18t + 9t = -20 + -9t + 9t Combine like terms: -18t + 9t = -9t 52 + -9t = -20 + -9t + 9t Combine like terms: -9t + 9t = 0 52 + -9t = -20 + 0 52 + -9t = -20 Add '-52' to each side of the equation. 52 + -52 + -9t = -20 + -52 Combine like terms: 52 + -52 = 0 0 + -9t = -20 + -52 -9t = -20 + -52 Combine like terms: -20 + -52 = -72 -9t = -72 Divide each side by '-9'. t = 8 Simplifying t = 8
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