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Simplifying 16 + -5(3t + -4) = (-2t + 11) Reorder the terms: 16 + -5(-4 + 3t) = (-2t + 11) 16 + (-4 * -5 + 3t * -5) = (-2t + 11) 16 + (20 + -15t) = (-2t + 11) Combine like terms: 16 + 20 = 36 36 + -15t = (-2t + 11) Reorder the terms: 36 + -15t = (11 + -2t) Remove parenthesis around (11 + -2t) 36 + -15t = 11 + -2t Solving 36 + -15t = 11 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 36 + -15t + 2t = 11 + -2t + 2t Combine like terms: -15t + 2t = -13t 36 + -13t = 11 + -2t + 2t Combine like terms: -2t + 2t = 0 36 + -13t = 11 + 0 36 + -13t = 11 Add '-36' to each side of the equation. 36 + -36 + -13t = 11 + -36 Combine like terms: 36 + -36 = 0 0 + -13t = 11 + -36 -13t = 11 + -36 Combine like terms: 11 + -36 = -25 -13t = -25 Divide each side by '-13'. t = 1.923076923 Simplifying t = 1.923076923
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