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Simplifying 3t + 16t + -48 = 2t + 14 Reorder the terms: -48 + 3t + 16t = 2t + 14 Combine like terms: 3t + 16t = 19t -48 + 19t = 2t + 14 Reorder the terms: -48 + 19t = 14 + 2t Solving -48 + 19t = 14 + 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. -48 + 19t + -2t = 14 + 2t + -2t Combine like terms: 19t + -2t = 17t -48 + 17t = 14 + 2t + -2t Combine like terms: 2t + -2t = 0 -48 + 17t = 14 + 0 -48 + 17t = 14 Add '48' to each side of the equation. -48 + 48 + 17t = 14 + 48 Combine like terms: -48 + 48 = 0 0 + 17t = 14 + 48 17t = 14 + 48 Combine like terms: 14 + 48 = 62 17t = 62 Divide each side by '17'. t = 3.647058824 Simplifying t = 3.647058824
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