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Simplifying -7(t + -4) + -1(t + 4) = 4 Reorder the terms: -7(-4 + t) + -1(t + 4) = 4 (-4 * -7 + t * -7) + -1(t + 4) = 4 (28 + -7t) + -1(t + 4) = 4 Reorder the terms: 28 + -7t + -1(4 + t) = 4 28 + -7t + (4 * -1 + t * -1) = 4 28 + -7t + (-4 + -1t) = 4 Reorder the terms: 28 + -4 + -7t + -1t = 4 Combine like terms: 28 + -4 = 24 24 + -7t + -1t = 4 Combine like terms: -7t + -1t = -8t 24 + -8t = 4 Solving 24 + -8t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -8t = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -8t = 4 + -24 -8t = 4 + -24 Combine like terms: 4 + -24 = -20 -8t = -20 Divide each side by '-8'. t = 2.5 Simplifying t = 2.5
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