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Simplifying -4(7t + -4) = 9(7t + 9) Reorder the terms: -4(-4 + 7t) = 9(7t + 9) (-4 * -4 + 7t * -4) = 9(7t + 9) (16 + -28t) = 9(7t + 9) Reorder the terms: 16 + -28t = 9(9 + 7t) 16 + -28t = (9 * 9 + 7t * 9) 16 + -28t = (81 + 63t) Solving 16 + -28t = 81 + 63t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-63t' to each side of the equation. 16 + -28t + -63t = 81 + 63t + -63t Combine like terms: -28t + -63t = -91t 16 + -91t = 81 + 63t + -63t Combine like terms: 63t + -63t = 0 16 + -91t = 81 + 0 16 + -91t = 81 Add '-16' to each side of the equation. 16 + -16 + -91t = 81 + -16 Combine like terms: 16 + -16 = 0 0 + -91t = 81 + -16 -91t = 81 + -16 Combine like terms: 81 + -16 = 65 -91t = 65 Divide each side by '-91'. t = -0.7142857143 Simplifying t = -0.7142857143
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