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Simplifying 3t + 42 = -42 + 7t Reorder the terms: 42 + 3t = -42 + 7t Solving 42 + 3t = -42 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 42 + 3t + -7t = -42 + 7t + -7t Combine like terms: 3t + -7t = -4t 42 + -4t = -42 + 7t + -7t Combine like terms: 7t + -7t = 0 42 + -4t = -42 + 0 42 + -4t = -42 Add '-42' to each side of the equation. 42 + -42 + -4t = -42 + -42 Combine like terms: 42 + -42 = 0 0 + -4t = -42 + -42 -4t = -42 + -42 Combine like terms: -42 + -42 = -84 -4t = -84 Divide each side by '-4'. t = 21 Simplifying t = 21
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