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Simplifying 7(4t + 1) + -10 = t + -1(t + 2) Reorder the terms: 7(1 + 4t) + -10 = t + -1(t + 2) (1 * 7 + 4t * 7) + -10 = t + -1(t + 2) (7 + 28t) + -10 = t + -1(t + 2) Reorder the terms: 7 + -10 + 28t = t + -1(t + 2) Combine like terms: 7 + -10 = -3 -3 + 28t = t + -1(t + 2) Reorder the terms: -3 + 28t = t + -1(2 + t) -3 + 28t = t + (2 * -1 + t * -1) -3 + 28t = t + (-2 + -1t) Reorder the terms: -3 + 28t = -2 + t + -1t Combine like terms: t + -1t = 0 -3 + 28t = -2 + 0 -3 + 28t = -2 Solving -3 + 28t = -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 + 28t = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 28t = -2 + 3 28t = -2 + 3 Combine like terms: -2 + 3 = 1 28t = 1 Divide each side by '28'. t = 0.03571428571 Simplifying t = 0.03571428571
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