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Simplifying 5(t + -7) + 4 = 34 Reorder the terms: 5(-7 + t) + 4 = 34 (-7 * 5 + t * 5) + 4 = 34 (-35 + 5t) + 4 = 34 Reorder the terms: -35 + 4 + 5t = 34 Combine like terms: -35 + 4 = -31 -31 + 5t = 34 Solving -31 + 5t = 34 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 5t = 34 + 31 Combine like terms: -31 + 31 = 0 0 + 5t = 34 + 31 5t = 34 + 31 Combine like terms: 34 + 31 = 65 5t = 65 Divide each side by '5'. t = 13 Simplifying t = 13
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