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Simplifying 5 + 14(8t) = 2(-7t) + 1 Remove parenthesis around (8t) 5 + 14 * 8t = 2(-7t) + 1 Multiply 14 * 8 5 + 112t = 2(-7t) + 1 Remove parenthesis around (-7t) 5 + 112t = 2 * -7t + 1 Multiply 2 * -7 5 + 112t = -14t + 1 Reorder the terms: 5 + 112t = 1 + -14t Solving 5 + 112t = 1 + -14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14t' to each side of the equation. 5 + 112t + 14t = 1 + -14t + 14t Combine like terms: 112t + 14t = 126t 5 + 126t = 1 + -14t + 14t Combine like terms: -14t + 14t = 0 5 + 126t = 1 + 0 5 + 126t = 1 Add '-5' to each side of the equation. 5 + -5 + 126t = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 126t = 1 + -5 126t = 1 + -5 Combine like terms: 1 + -5 = -4 126t = -4 Divide each side by '126'. t = -0.03174603175 Simplifying t = -0.03174603175
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