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Simplifying 18(6t + -1) = 18(t + 9) + 18(t + -7) Reorder the terms: 18(-1 + 6t) = 18(t + 9) + 18(t + -7) (-1 * 18 + 6t * 18) = 18(t + 9) + 18(t + -7) (-18 + 108t) = 18(t + 9) + 18(t + -7) Reorder the terms: -18 + 108t = 18(9 + t) + 18(t + -7) -18 + 108t = (9 * 18 + t * 18) + 18(t + -7) -18 + 108t = (162 + 18t) + 18(t + -7) Reorder the terms: -18 + 108t = 162 + 18t + 18(-7 + t) -18 + 108t = 162 + 18t + (-7 * 18 + t * 18) -18 + 108t = 162 + 18t + (-126 + 18t) Reorder the terms: -18 + 108t = 162 + -126 + 18t + 18t Combine like terms: 162 + -126 = 36 -18 + 108t = 36 + 18t + 18t Combine like terms: 18t + 18t = 36t -18 + 108t = 36 + 36t Solving -18 + 108t = 36 + 36t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36t' to each side of the equation. -18 + 108t + -36t = 36 + 36t + -36t Combine like terms: 108t + -36t = 72t -18 + 72t = 36 + 36t + -36t Combine like terms: 36t + -36t = 0 -18 + 72t = 36 + 0 -18 + 72t = 36 Add '18' to each side of the equation. -18 + 18 + 72t = 36 + 18 Combine like terms: -18 + 18 = 0 0 + 72t = 36 + 18 72t = 36 + 18 Combine like terms: 36 + 18 = 54 72t = 54 Divide each side by '72'. t = 0.75 Simplifying t = 0.75
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