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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 = -4 -4 + -15t = (-2t + 11) Reorder the terms: -4 + -15t = (11 + -2t) Remove parenthesis around (11 + -2t) -4 + -15t = 11 + -2t Solving -4 + -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. -4 + -15t + 2t = 11 + -2t + 2t Combine like terms: -15t + 2t = -13t -4 + -13t = 11 + -2t + 2t Combine like terms: -2t + 2t = 0 -4 + -13t = 11 + 0 -4 + -13t = 11 Add '4' to each side of the equation. -4 + 4 + -13t = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -13t = 11 + 4 -13t = 11 + 4 Combine like terms: 11 + 4 = 15 -13t = 15 Divide each side by '-13'. t = -1.153846154 Simplifying t = -1.153846154
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