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Simplifying 2(t + -1) + -5(3t + -7) = 10 + -6(5t + 4) Reorder the terms: 2(-1 + t) + -5(3t + -7) = 10 + -6(5t + 4) (-1 * 2 + t * 2) + -5(3t + -7) = 10 + -6(5t + 4) (-2 + 2t) + -5(3t + -7) = 10 + -6(5t + 4) Reorder the terms: -2 + 2t + -5(-7 + 3t) = 10 + -6(5t + 4) -2 + 2t + (-7 * -5 + 3t * -5) = 10 + -6(5t + 4) -2 + 2t + (35 + -15t) = 10 + -6(5t + 4) Reorder the terms: -2 + 35 + 2t + -15t = 10 + -6(5t + 4) Combine like terms: -2 + 35 = 33 33 + 2t + -15t = 10 + -6(5t + 4) Combine like terms: 2t + -15t = -13t 33 + -13t = 10 + -6(5t + 4) Reorder the terms: 33 + -13t = 10 + -6(4 + 5t) 33 + -13t = 10 + (4 * -6 + 5t * -6) 33 + -13t = 10 + (-24 + -30t) Combine like terms: 10 + -24 = -14 33 + -13t = -14 + -30t Solving 33 + -13t = -14 + -30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '30t' to each side of the equation. 33 + -13t + 30t = -14 + -30t + 30t Combine like terms: -13t + 30t = 17t 33 + 17t = -14 + -30t + 30t Combine like terms: -30t + 30t = 0 33 + 17t = -14 + 0 33 + 17t = -14 Add '-33' to each side of the equation. 33 + -33 + 17t = -14 + -33 Combine like terms: 33 + -33 = 0 0 + 17t = -14 + -33 17t = -14 + -33 Combine like terms: -14 + -33 = -47 17t = -47 Divide each side by '17'. t = -2.764705882 Simplifying t = -2.764705882
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