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Simplifying 4(7t + 1) + -15 = t + -1(t + 10) Reorder the terms: 4(1 + 7t) + -15 = t + -1(t + 10) (1 * 4 + 7t * 4) + -15 = t + -1(t + 10) (4 + 28t) + -15 = t + -1(t + 10) Reorder the terms: 4 + -15 + 28t = t + -1(t + 10) Combine like terms: 4 + -15 = -11 -11 + 28t = t + -1(t + 10) Reorder the terms: -11 + 28t = t + -1(10 + t) -11 + 28t = t + (10 * -1 + t * -1) -11 + 28t = t + (-10 + -1t) Reorder the terms: -11 + 28t = -10 + t + -1t Combine like terms: t + -1t = 0 -11 + 28t = -10 + 0 -11 + 28t = -10 Solving -11 + 28t = -10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 28t = -10 + 11 Combine like terms: -11 + 11 = 0 0 + 28t = -10 + 11 28t = -10 + 11 Combine like terms: -10 + 11 = 1 28t = 1 Divide each side by '28'. t = 0.03571428571 Simplifying t = 0.03571428571
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