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Simplifying t + -7 = -5t + 21 + -4 Reorder the terms: -7 + t = -5t + 21 + -4 Reorder the terms: -7 + t = 21 + -4 + -5t Combine like terms: 21 + -4 = 17 -7 + t = 17 + -5t Solving -7 + t = 17 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. -7 + t + 5t = 17 + -5t + 5t Combine like terms: t + 5t = 6t -7 + 6t = 17 + -5t + 5t Combine like terms: -5t + 5t = 0 -7 + 6t = 17 + 0 -7 + 6t = 17 Add '7' to each side of the equation. -7 + 7 + 6t = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 6t = 17 + 7 6t = 17 + 7 Combine like terms: 17 + 7 = 24 6t = 24 Divide each side by '6'. t = 4 Simplifying t = 4
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