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Simplifying 2t + -3(2 + 5t + -4) = 7 + -6t + -8 Reorder the terms: 2t + -3(2 + -4 + 5t) = 7 + -6t + -8 Combine like terms: 2 + -4 = -2 2t + -3(-2 + 5t) = 7 + -6t + -8 2t + (-2 * -3 + 5t * -3) = 7 + -6t + -8 2t + (6 + -15t) = 7 + -6t + -8 Reorder the terms: 6 + 2t + -15t = 7 + -6t + -8 Combine like terms: 2t + -15t = -13t 6 + -13t = 7 + -6t + -8 Reorder the terms: 6 + -13t = 7 + -8 + -6t Combine like terms: 7 + -8 = -1 6 + -13t = -1 + -6t Solving 6 + -13t = -1 + -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 + -13t + 6t = -1 + -6t + 6t Combine like terms: -13t + 6t = -7t 6 + -7t = -1 + -6t + 6t Combine like terms: -6t + 6t = 0 6 + -7t = -1 + 0 6 + -7t = -1 Add '-6' to each side of the equation. 6 + -6 + -7t = -1 + -6 Combine like terms: 6 + -6 = 0 0 + -7t = -1 + -6 -7t = -1 + -6 Combine like terms: -1 + -6 = -7 -7t = -7 Divide each side by '-7'. t = 1 Simplifying t = 1
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