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Simplifying 16t + 16u(3) + 8 = -4t + -2u + -6 Reorder the terms for easier multiplication: 16t + 16 * 3u + 8 = -4t + -2u + -6 Multiply 16 * 3 16t + 48u + 8 = -4t + -2u + -6 Reorder the terms: 8 + 16t + 48u = -4t + -2u + -6 Reorder the terms: 8 + 16t + 48u = -6 + -4t + -2u Solving 8 + 16t + 48u = -6 + -4t + -2u Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 8 + 16t + 4t + 48u = -6 + -4t + 4t + -2u Combine like terms: 16t + 4t = 20t 8 + 20t + 48u = -6 + -4t + 4t + -2u Combine like terms: -4t + 4t = 0 8 + 20t + 48u = -6 + 0 + -2u 8 + 20t + 48u = -6 + -2u Add '-8' to each side of the equation. 8 + 20t + -8 + 48u = -6 + -8 + -2u Reorder the terms: 8 + -8 + 20t + 48u = -6 + -8 + -2u Combine like terms: 8 + -8 = 0 0 + 20t + 48u = -6 + -8 + -2u 20t + 48u = -6 + -8 + -2u Combine like terms: -6 + -8 = -14 20t + 48u = -14 + -2u Add '-48u' to each side of the equation. 20t + 48u + -48u = -14 + -2u + -48u Combine like terms: 48u + -48u = 0 20t + 0 = -14 + -2u + -48u 20t = -14 + -2u + -48u Combine like terms: -2u + -48u = -50u 20t = -14 + -50u Divide each side by '20'. t = -0.7 + -2.5u Simplifying t = -0.7 + -2.5u
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