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Simplifying 5(2t + 12) + -2(6t + -4) = 0 Reorder the terms: 5(12 + 2t) + -2(6t + -4) = 0 (12 * 5 + 2t * 5) + -2(6t + -4) = 0 (60 + 10t) + -2(6t + -4) = 0 Reorder the terms: 60 + 10t + -2(-4 + 6t) = 0 60 + 10t + (-4 * -2 + 6t * -2) = 0 60 + 10t + (8 + -12t) = 0 Reorder the terms: 60 + 8 + 10t + -12t = 0 Combine like terms: 60 + 8 = 68 68 + 10t + -12t = 0 Combine like terms: 10t + -12t = -2t 68 + -2t = 0 Solving 68 + -2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + -2t = 0 + -68 Combine like terms: 68 + -68 = 0 0 + -2t = 0 + -68 -2t = 0 + -68 Combine like terms: 0 + -68 = -68 -2t = -68 Divide each side by '-2'. t = 34 Simplifying t = 34
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