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Simplifying 2(3t + -5) = t + 5 Reorder the terms: 2(-5 + 3t) = t + 5 (-5 * 2 + 3t * 2) = t + 5 (-10 + 6t) = t + 5 Reorder the terms: -10 + 6t = 5 + t Solving -10 + 6t = 5 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -10 + 6t + -1t = 5 + t + -1t Combine like terms: 6t + -1t = 5t -10 + 5t = 5 + t + -1t Combine like terms: t + -1t = 0 -10 + 5t = 5 + 0 -10 + 5t = 5 Add '10' to each side of the equation. -10 + 10 + 5t = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 5t = 5 + 10 5t = 5 + 10 Combine like terms: 5 + 10 = 15 5t = 15 Divide each side by '5'. t = 3 Simplifying t = 3
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