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Simplifying -7(t + 9) + -1(t + 2) = 3 Reorder the terms: -7(9 + t) + -1(t + 2) = 3 (9 * -7 + t * -7) + -1(t + 2) = 3 (-63 + -7t) + -1(t + 2) = 3 Reorder the terms: -63 + -7t + -1(2 + t) = 3 -63 + -7t + (2 * -1 + t * -1) = 3 -63 + -7t + (-2 + -1t) = 3 Reorder the terms: -63 + -2 + -7t + -1t = 3 Combine like terms: -63 + -2 = -65 -65 + -7t + -1t = 3 Combine like terms: -7t + -1t = -8t -65 + -8t = 3 Solving -65 + -8t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + -8t = 3 + 65 Combine like terms: -65 + 65 = 0 0 + -8t = 3 + 65 -8t = 3 + 65 Combine like terms: 3 + 65 = 68 -8t = 68 Divide each side by '-8'. t = -8.5 Simplifying t = -8.5
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