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Simplifying 6(t + -5) + 6t = (2t + 4) + -13 Reorder the terms: 6(-5 + t) + 6t = (2t + 4) + -13 (-5 * 6 + t * 6) + 6t = (2t + 4) + -13 (-30 + 6t) + 6t = (2t + 4) + -13 Combine like terms: 6t + 6t = 12t -30 + 12t = (2t + 4) + -13 Reorder the terms: -30 + 12t = (4 + 2t) + -13 Remove parenthesis around (4 + 2t) -30 + 12t = 4 + 2t + -13 Reorder the terms: -30 + 12t = 4 + -13 + 2t Combine like terms: 4 + -13 = -9 -30 + 12t = -9 + 2t Solving -30 + 12t = -9 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -30 + 12t + -2t = -9 + 2t + -2t Combine like terms: 12t + -2t = 10t -30 + 10t = -9 + 2t + -2t Combine like terms: 2t + -2t = 0 -30 + 10t = -9 + 0 -30 + 10t = -9 Add '30' to each side of the equation. -30 + 30 + 10t = -9 + 30 Combine like terms: -30 + 30 = 0 0 + 10t = -9 + 30 10t = -9 + 30 Combine like terms: -9 + 30 = 21 10t = 21 Divide each side by '10'. t = 2.1 Simplifying t = 2.1
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