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Simplifying -7(t + 6) + -1(t + 2) = 4 Reorder the terms: -7(6 + t) + -1(t + 2) = 4 (6 * -7 + t * -7) + -1(t + 2) = 4 (-42 + -7t) + -1(t + 2) = 4 Reorder the terms: -42 + -7t + -1(2 + t) = 4 -42 + -7t + (2 * -1 + t * -1) = 4 -42 + -7t + (-2 + -1t) = 4 Reorder the terms: -42 + -2 + -7t + -1t = 4 Combine like terms: -42 + -2 = -44 -44 + -7t + -1t = 4 Combine like terms: -7t + -1t = -8t -44 + -8t = 4 Solving -44 + -8t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -8t = 4 + 44 Combine like terms: -44 + 44 = 0 0 + -8t = 4 + 44 -8t = 4 + 44 Combine like terms: 4 + 44 = 48 -8t = 48 Divide each side by '-8'. t = -6 Simplifying t = -6
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