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Simplifying 10t + -50 = 10(9 + -6t) Reorder the terms: -50 + 10t = 10(9 + -6t) -50 + 10t = (9 * 10 + -6t * 10) -50 + 10t = (90 + -60t) Solving -50 + 10t = 90 + -60t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '60t' to each side of the equation. -50 + 10t + 60t = 90 + -60t + 60t Combine like terms: 10t + 60t = 70t -50 + 70t = 90 + -60t + 60t Combine like terms: -60t + 60t = 0 -50 + 70t = 90 + 0 -50 + 70t = 90 Add '50' to each side of the equation. -50 + 50 + 70t = 90 + 50 Combine like terms: -50 + 50 = 0 0 + 70t = 90 + 50 70t = 90 + 50 Combine like terms: 90 + 50 = 140 70t = 140 Divide each side by '70'. t = 2 Simplifying t = 2
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