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Simplifying 26 + -3t + -1(4t + -7) = 8t + -5 Reorder the terms: 26 + -3t + -1(-7 + 4t) = 8t + -5 26 + -3t + (-7 * -1 + 4t * -1) = 8t + -5 26 + -3t + (7 + -4t) = 8t + -5 Reorder the terms: 26 + 7 + -3t + -4t = 8t + -5 Combine like terms: 26 + 7 = 33 33 + -3t + -4t = 8t + -5 Combine like terms: -3t + -4t = -7t 33 + -7t = 8t + -5 Reorder the terms: 33 + -7t = -5 + 8t Solving 33 + -7t = -5 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 33 + -7t + -8t = -5 + 8t + -8t Combine like terms: -7t + -8t = -15t 33 + -15t = -5 + 8t + -8t Combine like terms: 8t + -8t = 0 33 + -15t = -5 + 0 33 + -15t = -5 Add '-33' to each side of the equation. 33 + -33 + -15t = -5 + -33 Combine like terms: 33 + -33 = 0 0 + -15t = -5 + -33 -15t = -5 + -33 Combine like terms: -5 + -33 = -38 -15t = -38 Divide each side by '-15'. t = 2.533333333 Simplifying t = 2.533333333
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