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Simplifying 2t + 7(z + -3) = 6z + 5 Reorder the terms: 2t + 7(-3 + z) = 6z + 5 2t + (-3 * 7 + z * 7) = 6z + 5 2t + (-21 + 7z) = 6z + 5 Reorder the terms: -21 + 2t + 7z = 6z + 5 Reorder the terms: -21 + 2t + 7z = 5 + 6z Solving -21 + 2t + 7z = 5 + 6z Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 2t + 21 + 7z = 5 + 21 + 6z Reorder the terms: -21 + 21 + 2t + 7z = 5 + 21 + 6z Combine like terms: -21 + 21 = 0 0 + 2t + 7z = 5 + 21 + 6z 2t + 7z = 5 + 21 + 6z Combine like terms: 5 + 21 = 26 2t + 7z = 26 + 6z Add '-7z' to each side of the equation. 2t + 7z + -7z = 26 + 6z + -7z Combine like terms: 7z + -7z = 0 2t + 0 = 26 + 6z + -7z 2t = 26 + 6z + -7z Combine like terms: 6z + -7z = -1z 2t = 26 + -1z Divide each side by '2'. t = 13 + -0.5z Simplifying t = 13 + -0.5z
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