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Simplifying 5t + 34 = -2(1 + -7t) Reorder the terms: 34 + 5t = -2(1 + -7t) 34 + 5t = (1 * -2 + -7t * -2) 34 + 5t = (-2 + 14t) Solving 34 + 5t = -2 + 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. 34 + 5t + -14t = -2 + 14t + -14t Combine like terms: 5t + -14t = -9t 34 + -9t = -2 + 14t + -14t Combine like terms: 14t + -14t = 0 34 + -9t = -2 + 0 34 + -9t = -2 Add '-34' to each side of the equation. 34 + -34 + -9t = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -9t = -2 + -34 -9t = -2 + -34 Combine like terms: -2 + -34 = -36 -9t = -36 Divide each side by '-9'. t = 4 Simplifying t = 4
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