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Simplifying 38 = -16t + 48t + 2 Reorder the terms: 38 = 2 + -16t + 48t Combine like terms: -16t + 48t = 32t 38 = 2 + 32t Solving 38 = 2 + 32t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-32t' to each side of the equation. 38 + -32t = 2 + 32t + -32t Combine like terms: 32t + -32t = 0 38 + -32t = 2 + 0 38 + -32t = 2 Add '-38' to each side of the equation. 38 + -38 + -32t = 2 + -38 Combine like terms: 38 + -38 = 0 0 + -32t = 2 + -38 -32t = 2 + -38 Combine like terms: 2 + -38 = -36 -32t = -36 Divide each side by '-32'. t = 1.125 Simplifying t = 1.125
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