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Simplifying 7t + -42 = 2t + -7 Reorder the terms: -42 + 7t = 2t + -7 Reorder the terms: -42 + 7t = -7 + 2t Solving -42 + 7t = -7 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -42 + 7t + -2t = -7 + 2t + -2t Combine like terms: 7t + -2t = 5t -42 + 5t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 -42 + 5t = -7 + 0 -42 + 5t = -7 Add '42' to each side of the equation. -42 + 42 + 5t = -7 + 42 Combine like terms: -42 + 42 = 0 0 + 5t = -7 + 42 5t = -7 + 42 Combine like terms: -7 + 42 = 35 5t = 35 Divide each side by '5'. t = 7 Simplifying t = 7
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