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Simplifying -5(t + -7) + -2(2t + 1) = -3 Reorder the terms: -5(-7 + t) + -2(2t + 1) = -3 (-7 * -5 + t * -5) + -2(2t + 1) = -3 (35 + -5t) + -2(2t + 1) = -3 Reorder the terms: 35 + -5t + -2(1 + 2t) = -3 35 + -5t + (1 * -2 + 2t * -2) = -3 35 + -5t + (-2 + -4t) = -3 Reorder the terms: 35 + -2 + -5t + -4t = -3 Combine like terms: 35 + -2 = 33 33 + -5t + -4t = -3 Combine like terms: -5t + -4t = -9t 33 + -9t = -3 Solving 33 + -9t = -3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -9t = -3 + -33 Combine like terms: 33 + -33 = 0 0 + -9t = -3 + -33 -9t = -3 + -33 Combine like terms: -3 + -33 = -36 -9t = -36 Divide each side by '-9'. t = 4 Simplifying t = 4
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