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Simplifying 1 + 5(-7) = 3t(-7) + 13 Multiply 5 * -7 1 + -35 = 3t(-7) + 13 Combine like terms: 1 + -35 = -34 -34 = 3t(-7) + 13 Reorder the terms for easier multiplication: -34 = 3 * -7t + 13 Multiply 3 * -7 -34 = -21t + 13 Reorder the terms: -34 = 13 + -21t Solving -34 = 13 + -21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '21t' to each side of the equation. -34 + 21t = 13 + -21t + 21t Combine like terms: -21t + 21t = 0 -34 + 21t = 13 + 0 -34 + 21t = 13 Add '34' to each side of the equation. -34 + 34 + 21t = 13 + 34 Combine like terms: -34 + 34 = 0 0 + 21t = 13 + 34 21t = 13 + 34 Combine like terms: 13 + 34 = 47 21t = 47 Divide each side by '21'. t = 2.238095238 Simplifying t = 2.238095238
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