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Simplifying -7(t + -2) + -4(4t + 1) = -13 Reorder the terms: -7(-2 + t) + -4(4t + 1) = -13 (-2 * -7 + t * -7) + -4(4t + 1) = -13 (14 + -7t) + -4(4t + 1) = -13 Reorder the terms: 14 + -7t + -4(1 + 4t) = -13 14 + -7t + (1 * -4 + 4t * -4) = -13 14 + -7t + (-4 + -16t) = -13 Reorder the terms: 14 + -4 + -7t + -16t = -13 Combine like terms: 14 + -4 = 10 10 + -7t + -16t = -13 Combine like terms: -7t + -16t = -23t 10 + -23t = -13 Solving 10 + -23t = -13 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -23t = -13 + -10 Combine like terms: 10 + -10 = 0 0 + -23t = -13 + -10 -23t = -13 + -10 Combine like terms: -13 + -10 = -23 -23t = -23 Divide each side by '-23'. t = 1 Simplifying t = 1
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