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Simplifying 16 + -5(3t + -4) = 8 + -1(-2t + 11) Reorder the terms: 16 + -5(-4 + 3t) = 8 + -1(-2t + 11) 16 + (-4 * -5 + 3t * -5) = 8 + -1(-2t + 11) 16 + (20 + -15t) = 8 + -1(-2t + 11) Combine like terms: 16 + 20 = 36 36 + -15t = 8 + -1(-2t + 11) Reorder the terms: 36 + -15t = 8 + -1(11 + -2t) 36 + -15t = 8 + (11 * -1 + -2t * -1) 36 + -15t = 8 + (-11 + 2t) Combine like terms: 8 + -11 = -3 36 + -15t = -3 + 2t Solving 36 + -15t = -3 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 36 + -15t + -2t = -3 + 2t + -2t Combine like terms: -15t + -2t = -17t 36 + -17t = -3 + 2t + -2t Combine like terms: 2t + -2t = 0 36 + -17t = -3 + 0 36 + -17t = -3 Add '-36' to each side of the equation. 36 + -36 + -17t = -3 + -36 Combine like terms: 36 + -36 = 0 0 + -17t = -3 + -36 -17t = -3 + -36 Combine like terms: -3 + -36 = -39 -17t = -39 Divide each side by '-17'. t = 2.294117647 Simplifying t = 2.294117647
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