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Simplifying 13 + -4t = 6(-1t + -8) + -3(6t + -3) Reorder the terms: 13 + -4t = 6(-8 + -1t) + -3(6t + -3) 13 + -4t = (-8 * 6 + -1t * 6) + -3(6t + -3) 13 + -4t = (-48 + -6t) + -3(6t + -3) Reorder the terms: 13 + -4t = -48 + -6t + -3(-3 + 6t) 13 + -4t = -48 + -6t + (-3 * -3 + 6t * -3) 13 + -4t = -48 + -6t + (9 + -18t) Reorder the terms: 13 + -4t = -48 + 9 + -6t + -18t Combine like terms: -48 + 9 = -39 13 + -4t = -39 + -6t + -18t Combine like terms: -6t + -18t = -24t 13 + -4t = -39 + -24t Solving 13 + -4t = -39 + -24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24t' to each side of the equation. 13 + -4t + 24t = -39 + -24t + 24t Combine like terms: -4t + 24t = 20t 13 + 20t = -39 + -24t + 24t Combine like terms: -24t + 24t = 0 13 + 20t = -39 + 0 13 + 20t = -39 Add '-13' to each side of the equation. 13 + -13 + 20t = -39 + -13 Combine like terms: 13 + -13 = 0 0 + 20t = -39 + -13 20t = -39 + -13 Combine like terms: -39 + -13 = -52 20t = -52 Divide each side by '20'. t = -2.6 Simplifying t = -2.6
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