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Simplifying 16 + -1(3t + -4) = 8(-21 + 11) Reorder the terms: 16 + -1(-4 + 3t) = 8(-21 + 11) 16 + (-4 * -1 + 3t * -1) = 8(-21 + 11) 16 + (4 + -3t) = 8(-21 + 11) Combine like terms: 16 + 4 = 20 20 + -3t = 8(-21 + 11) Combine like terms: -21 + 11 = -10 20 + -3t = 8(-10) Multiply 8 * -10 20 + -3t = -80 Solving 20 + -3t = -80 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -3t = -80 + -20 Combine like terms: 20 + -20 = 0 0 + -3t = -80 + -20 -3t = -80 + -20 Combine like terms: -80 + -20 = -100 -3t = -100 Divide each side by '-3'. t = 33.33333333 Simplifying t = 33.33333333
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