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Simplifying 5(7t + 1) + -11 = t + -1(t + 5) Reorder the terms: 5(1 + 7t) + -11 = t + -1(t + 5) (1 * 5 + 7t * 5) + -11 = t + -1(t + 5) (5 + 35t) + -11 = t + -1(t + 5) Reorder the terms: 5 + -11 + 35t = t + -1(t + 5) Combine like terms: 5 + -11 = -6 -6 + 35t = t + -1(t + 5) Reorder the terms: -6 + 35t = t + -1(5 + t) -6 + 35t = t + (5 * -1 + t * -1) -6 + 35t = t + (-5 + -1t) Reorder the terms: -6 + 35t = -5 + t + -1t Combine like terms: t + -1t = 0 -6 + 35t = -5 + 0 -6 + 35t = -5 Solving -6 + 35t = -5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 35t = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 35t = -5 + 6 35t = -5 + 6 Combine like terms: -5 + 6 = 1 35t = 1 Divide each side by '35'. t = 0.02857142857 Simplifying t = 0.02857142857
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