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Simplifying 2(5t + -6) = 13t + 3 Reorder the terms: 2(-6 + 5t) = 13t + 3 (-6 * 2 + 5t * 2) = 13t + 3 (-12 + 10t) = 13t + 3 Reorder the terms: -12 + 10t = 3 + 13t Solving -12 + 10t = 3 + 13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13t' to each side of the equation. -12 + 10t + -13t = 3 + 13t + -13t Combine like terms: 10t + -13t = -3t -12 + -3t = 3 + 13t + -13t Combine like terms: 13t + -13t = 0 -12 + -3t = 3 + 0 -12 + -3t = 3 Add '12' to each side of the equation. -12 + 12 + -3t = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -3t = 3 + 12 -3t = 3 + 12 Combine like terms: 3 + 12 = 15 -3t = 15 Divide each side by '-3'. t = -5 Simplifying t = -5
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