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Simplifying 5t + -3 = 2(4 + -3t) Reorder the terms: -3 + 5t = 2(4 + -3t) -3 + 5t = (4 * 2 + -3t * 2) -3 + 5t = (8 + -6t) Solving -3 + 5t = 8 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. -3 + 5t + 6t = 8 + -6t + 6t Combine like terms: 5t + 6t = 11t -3 + 11t = 8 + -6t + 6t Combine like terms: -6t + 6t = 0 -3 + 11t = 8 + 0 -3 + 11t = 8 Add '3' to each side of the equation. -3 + 3 + 11t = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 11t = 8 + 3 11t = 8 + 3 Combine like terms: 8 + 3 = 11 11t = 11 Divide each side by '11'. t = 1 Simplifying t = 1
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