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Simplifying 2(3t + -1) + -5 = t + -1(t + 2) Reorder the terms: 2(-1 + 3t) + -5 = t + -1(t + 2) (-1 * 2 + 3t * 2) + -5 = t + -1(t + 2) (-2 + 6t) + -5 = t + -1(t + 2) Reorder the terms: -2 + -5 + 6t = t + -1(t + 2) Combine like terms: -2 + -5 = -7 -7 + 6t = t + -1(t + 2) Reorder the terms: -7 + 6t = t + -1(2 + t) -7 + 6t = t + (2 * -1 + t * -1) -7 + 6t = t + (-2 + -1t) Reorder the terms: -7 + 6t = -2 + t + -1t Combine like terms: t + -1t = 0 -7 + 6t = -2 + 0 -7 + 6t = -2 Solving -7 + 6t = -2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6t = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 6t = -2 + 7 6t = -2 + 7 Combine like terms: -2 + 7 = 5 6t = 5 Divide each side by '6'. t = 0.8333333333 Simplifying t = 0.8333333333
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