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Simplifying 7(6t + 1) + -10 = t + -1(t + 2) Reorder the terms: 7(1 + 6t) + -10 = t + -1(t + 2) (1 * 7 + 6t * 7) + -10 = t + -1(t + 2) (7 + 42t) + -10 = t + -1(t + 2) Reorder the terms: 7 + -10 + 42t = t + -1(t + 2) Combine like terms: 7 + -10 = -3 -3 + 42t = t + -1(t + 2) Reorder the terms: -3 + 42t = t + -1(2 + t) -3 + 42t = t + (2 * -1 + t * -1) -3 + 42t = t + (-2 + -1t) Reorder the terms: -3 + 42t = -2 + t + -1t Combine like terms: t + -1t = 0 -3 + 42t = -2 + 0 -3 + 42t = -2 Solving -3 + 42t = -2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 42t = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 42t = -2 + 3 42t = -2 + 3 Combine like terms: -2 + 3 = 1 42t = 1 Divide each side by '42'. t = 0.02380952381 Simplifying t = 0.02380952381
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