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Simplifying 5t + -3 = 18 + -3(1 + -3t) Reorder the terms: -3 + 5t = 18 + -3(1 + -3t) -3 + 5t = 18 + (1 * -3 + -3t * -3) -3 + 5t = 18 + (-3 + 9t) Combine like terms: 18 + -3 = 15 -3 + 5t = 15 + 9t Solving -3 + 5t = 15 + 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. -3 + 5t + -9t = 15 + 9t + -9t Combine like terms: 5t + -9t = -4t -3 + -4t = 15 + 9t + -9t Combine like terms: 9t + -9t = 0 -3 + -4t = 15 + 0 -3 + -4t = 15 Add '3' to each side of the equation. -3 + 3 + -4t = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -4t = 15 + 3 -4t = 15 + 3 Combine like terms: 15 + 3 = 18 -4t = 18 Divide each side by '-4'. t = -4.5 Simplifying t = -4.5
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