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Simplifying 12(6t + 1) + -15 = t + -1(t + -2) Reorder the terms: 12(1 + 6t) + -15 = t + -1(t + -2) (1 * 12 + 6t * 12) + -15 = t + -1(t + -2) (12 + 72t) + -15 = t + -1(t + -2) Reorder the terms: 12 + -15 + 72t = t + -1(t + -2) Combine like terms: 12 + -15 = -3 -3 + 72t = t + -1(t + -2) Reorder the terms: -3 + 72t = t + -1(-2 + t) -3 + 72t = t + (-2 * -1 + t * -1) -3 + 72t = t + (2 + -1t) Reorder the terms: -3 + 72t = 2 + t + -1t Combine like terms: t + -1t = 0 -3 + 72t = 2 + 0 -3 + 72t = 2 Solving -3 + 72t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 72t = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 72t = 2 + 3 72t = 2 + 3 Combine like terms: 2 + 3 = 5 72t = 5 Divide each side by '72'. t = 0.06944444444 Simplifying t = 0.06944444444
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