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Simplifying 2(5t + -3) = 2(3t + 6) Reorder the terms: 2(-3 + 5t) = 2(3t + 6) (-3 * 2 + 5t * 2) = 2(3t + 6) (-6 + 10t) = 2(3t + 6) Reorder the terms: -6 + 10t = 2(6 + 3t) -6 + 10t = (6 * 2 + 3t * 2) -6 + 10t = (12 + 6t) Solving -6 + 10t = 12 + 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. -6 + 10t + -6t = 12 + 6t + -6t Combine like terms: 10t + -6t = 4t -6 + 4t = 12 + 6t + -6t Combine like terms: 6t + -6t = 0 -6 + 4t = 12 + 0 -6 + 4t = 12 Add '6' to each side of the equation. -6 + 6 + 4t = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 4t = 12 + 6 4t = 12 + 6 Combine like terms: 12 + 6 = 18 4t = 18 Divide each side by '4'. t = 4.5 Simplifying t = 4.5
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