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Simplifying 2(2t + -5) + 6t = 17 + 3(2t + -5) Reorder the terms: 2(-5 + 2t) + 6t = 17 + 3(2t + -5) (-5 * 2 + 2t * 2) + 6t = 17 + 3(2t + -5) (-10 + 4t) + 6t = 17 + 3(2t + -5) Combine like terms: 4t + 6t = 10t -10 + 10t = 17 + 3(2t + -5) Reorder the terms: -10 + 10t = 17 + 3(-5 + 2t) -10 + 10t = 17 + (-5 * 3 + 2t * 3) -10 + 10t = 17 + (-15 + 6t) Combine like terms: 17 + -15 = 2 -10 + 10t = 2 + 6t Solving -10 + 10t = 2 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -10 + 10t + -6t = 2 + 6t + -6t Combine like terms: 10t + -6t = 4t -10 + 4t = 2 + 6t + -6t Combine like terms: 6t + -6t = 0 -10 + 4t = 2 + 0 -10 + 4t = 2 Add '10' to each side of the equation. -10 + 10 + 4t = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 4t = 2 + 10 4t = 2 + 10 Combine like terms: 2 + 10 = 12 4t = 12 Divide each side by '4'. t = 3 Simplifying t = 3
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