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Simplifying -7(t + -2) + -1(t + 4) = 10 Reorder the terms: -7(-2 + t) + -1(t + 4) = 10 (-2 * -7 + t * -7) + -1(t + 4) = 10 (14 + -7t) + -1(t + 4) = 10 Reorder the terms: 14 + -7t + -1(4 + t) = 10 14 + -7t + (4 * -1 + t * -1) = 10 14 + -7t + (-4 + -1t) = 10 Reorder the terms: 14 + -4 + -7t + -1t = 10 Combine like terms: 14 + -4 = 10 10 + -7t + -1t = 10 Combine like terms: -7t + -1t = -8t 10 + -8t = 10 Add '-10' to each side of the equation. 10 + -10 + -8t = 10 + -10 Combine like terms: 10 + -10 = 0 0 + -8t = 10 + -10 -8t = 10 + -10 Combine like terms: 10 + -10 = 0 -8t = 0 Solving -8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Divide each side by '-8'. t = 0 Simplifying t = 0
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