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Simplifying -7(t + -9) + -1(t + 4) = 4 Reorder the terms: -7(-9 + t) + -1(t + 4) = 4 (-9 * -7 + t * -7) + -1(t + 4) = 4 (63 + -7t) + -1(t + 4) = 4 Reorder the terms: 63 + -7t + -1(4 + t) = 4 63 + -7t + (4 * -1 + t * -1) = 4 63 + -7t + (-4 + -1t) = 4 Reorder the terms: 63 + -4 + -7t + -1t = 4 Combine like terms: 63 + -4 = 59 59 + -7t + -1t = 4 Combine like terms: -7t + -1t = -8t 59 + -8t = 4 Solving 59 + -8t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + -8t = 4 + -59 Combine like terms: 59 + -59 = 0 0 + -8t = 4 + -59 -8t = 4 + -59 Combine like terms: 4 + -59 = -55 -8t = -55 Divide each side by '-8'. t = 6.875 Simplifying t = 6.875
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