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Simplifying 3(9 + -5t) + -5(9 + -10t) = 7 (9 * 3 + -5t * 3) + -5(9 + -10t) = 7 (27 + -15t) + -5(9 + -10t) = 7 27 + -15t + (9 * -5 + -10t * -5) = 7 27 + -15t + (-45 + 50t) = 7 Reorder the terms: 27 + -45 + -15t + 50t = 7 Combine like terms: 27 + -45 = -18 -18 + -15t + 50t = 7 Combine like terms: -15t + 50t = 35t -18 + 35t = 7 Solving -18 + 35t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 35t = 7 + 18 Combine like terms: -18 + 18 = 0 0 + 35t = 7 + 18 35t = 7 + 18 Combine like terms: 7 + 18 = 25 35t = 25 Divide each side by '35'. t = 0.7142857143 Simplifying t = 0.7142857143
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