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Simplifying 3t + -8 = 4(t + -1z) Reorder the terms: -8 + 3t = 4(t + -1z) -8 + 3t = (t * 4 + -1z * 4) -8 + 3t = (4t + -4z) Solving -8 + 3t = 4t + -4z Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -8 + 3t + -4t = 4t + -4t + -4z Combine like terms: 3t + -4t = -1t -8 + -1t = 4t + -4t + -4z Combine like terms: 4t + -4t = 0 -8 + -1t = 0 + -4z -8 + -1t = -4z Add '8' to each side of the equation. -8 + 8 + -1t = 8 + -4z Combine like terms: -8 + 8 = 0 0 + -1t = 8 + -4z -1t = 8 + -4z Divide each side by '-1'. t = -8 + 4z Simplifying t = -8 + 4z
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