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Simplifying 5(7t + 1) + -14 = t + -1(t + 8) Reorder the terms: 5(1 + 7t) + -14 = t + -1(t + 8) (1 * 5 + 7t * 5) + -14 = t + -1(t + 8) (5 + 35t) + -14 = t + -1(t + 8) Reorder the terms: 5 + -14 + 35t = t + -1(t + 8) Combine like terms: 5 + -14 = -9 -9 + 35t = t + -1(t + 8) Reorder the terms: -9 + 35t = t + -1(8 + t) -9 + 35t = t + (8 * -1 + t * -1) -9 + 35t = t + (-8 + -1t) Reorder the terms: -9 + 35t = -8 + t + -1t Combine like terms: t + -1t = 0 -9 + 35t = -8 + 0 -9 + 35t = -8 Solving -9 + 35t = -8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 35t = -8 + 9 Combine like terms: -9 + 9 = 0 0 + 35t = -8 + 9 35t = -8 + 9 Combine like terms: -8 + 9 = 1 35t = 1 Divide each side by '35'. t = 0.02857142857 Simplifying t = 0.02857142857
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