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Simplifying 5(7t + 1) + -16 = t + -1(t + 10) Reorder the terms: 5(1 + 7t) + -16 = t + -1(t + 10) (1 * 5 + 7t * 5) + -16 = t + -1(t + 10) (5 + 35t) + -16 = t + -1(t + 10) Reorder the terms: 5 + -16 + 35t = t + -1(t + 10) Combine like terms: 5 + -16 = -11 -11 + 35t = t + -1(t + 10) Reorder the terms: -11 + 35t = t + -1(10 + t) -11 + 35t = t + (10 * -1 + t * -1) -11 + 35t = t + (-10 + -1t) Reorder the terms: -11 + 35t = -10 + t + -1t Combine like terms: t + -1t = 0 -11 + 35t = -10 + 0 -11 + 35t = -10 Solving -11 + 35t = -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 + 35t = -10 + 11 Combine like terms: -11 + 11 = 0 0 + 35t = -10 + 11 35t = -10 + 11 Combine like terms: -10 + 11 = 1 35t = 1 Divide each side by '35'. t = 0.02857142857 Simplifying t = 0.02857142857
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