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Simplifying 7(t + -9) + 5 + -1t = 0 Reorder the terms: 7(-9 + t) + 5 + -1t = 0 (-9 * 7 + t * 7) + 5 + -1t = 0 (-63 + 7t) + 5 + -1t = 0 Reorder the terms: -63 + 5 + 7t + -1t = 0 Combine like terms: -63 + 5 = -58 -58 + 7t + -1t = 0 Combine like terms: 7t + -1t = 6t -58 + 6t = 0 Solving -58 + 6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 6t = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 6t = 0 + 58 6t = 0 + 58 Combine like terms: 0 + 58 = 58 6t = 58 Divide each side by '6'. t = 9.666666667 Simplifying t = 9.666666667
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