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Simplifying 6(8t + 1) + -16 = t + -1(t + 9) Reorder the terms: 6(1 + 8t) + -16 = t + -1(t + 9) (1 * 6 + 8t * 6) + -16 = t + -1(t + 9) (6 + 48t) + -16 = t + -1(t + 9) Reorder the terms: 6 + -16 + 48t = t + -1(t + 9) Combine like terms: 6 + -16 = -10 -10 + 48t = t + -1(t + 9) Reorder the terms: -10 + 48t = t + -1(9 + t) -10 + 48t = t + (9 * -1 + t * -1) -10 + 48t = t + (-9 + -1t) Reorder the terms: -10 + 48t = -9 + t + -1t Combine like terms: t + -1t = 0 -10 + 48t = -9 + 0 -10 + 48t = -9 Solving -10 + 48t = -9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 48t = -9 + 10 Combine like terms: -10 + 10 = 0 0 + 48t = -9 + 10 48t = -9 + 10 Combine like terms: -9 + 10 = 1 48t = 1 Divide each side by '48'. t = 0.02083333333 Simplifying t = 0.02083333333
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