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Simplifying 3(9 + -5z) + -5(9 + -10t) = 7 (9 * 3 + -5z * 3) + -5(9 + -10t) = 7 (27 + -15z) + -5(9 + -10t) = 7 27 + -15z + (9 * -5 + -10t * -5) = 7 27 + -15z + (-45 + 50t) = 7 Reorder the terms: 27 + -45 + 50t + -15z = 7 Combine like terms: 27 + -45 = -18 -18 + 50t + -15z = 7 Solving -18 + 50t + -15z = 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 + 50t + 18 + -15z = 7 + 18 Reorder the terms: -18 + 18 + 50t + -15z = 7 + 18 Combine like terms: -18 + 18 = 0 0 + 50t + -15z = 7 + 18 50t + -15z = 7 + 18 Combine like terms: 7 + 18 = 25 50t + -15z = 25 Add '15z' to each side of the equation. 50t + -15z + 15z = 25 + 15z Combine like terms: -15z + 15z = 0 50t + 0 = 25 + 15z 50t = 25 + 15z Divide each side by '50'. t = 0.5 + 0.3z Simplifying t = 0.5 + 0.3z
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