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Simplifying 3t + -5 = -47 + 9t Reorder the terms: -5 + 3t = -47 + 9t Solving -5 + 3t = -47 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -5 + 3t + -9t = -47 + 9t + -9t Combine like terms: 3t + -9t = -6t -5 + -6t = -47 + 9t + -9t Combine like terms: 9t + -9t = 0 -5 + -6t = -47 + 0 -5 + -6t = -47 Add '5' to each side of the equation. -5 + 5 + -6t = -47 + 5 Combine like terms: -5 + 5 = 0 0 + -6t = -47 + 5 -6t = -47 + 5 Combine like terms: -47 + 5 = -42 -6t = -42 Divide each side by '-6'. t = 7 Simplifying t = 7
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