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Simplifying 9(2t + -1) + -13 = t + -1(t + 3) Reorder the terms: 9(-1 + 2t) + -13 = t + -1(t + 3) (-1 * 9 + 2t * 9) + -13 = t + -1(t + 3) (-9 + 18t) + -13 = t + -1(t + 3) Reorder the terms: -9 + -13 + 18t = t + -1(t + 3) Combine like terms: -9 + -13 = -22 -22 + 18t = t + -1(t + 3) Reorder the terms: -22 + 18t = t + -1(3 + t) -22 + 18t = t + (3 * -1 + t * -1) -22 + 18t = t + (-3 + -1t) Reorder the terms: -22 + 18t = -3 + t + -1t Combine like terms: t + -1t = 0 -22 + 18t = -3 + 0 -22 + 18t = -3 Solving -22 + 18t = -3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 18t = -3 + 22 Combine like terms: -22 + 22 = 0 0 + 18t = -3 + 22 18t = -3 + 22 Combine like terms: -3 + 22 = 19 18t = 19 Divide each side by '18'. t = 1.055555556 Simplifying t = 1.055555556
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