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Simplifying 16 + -5(3t + -4) = 8(-21 + 11) Reorder the terms: 16 + -5(-4 + 3t) = 8(-21 + 11) 16 + (-4 * -5 + 3t * -5) = 8(-21 + 11) 16 + (20 + -15t) = 8(-21 + 11) Combine like terms: 16 + 20 = 36 36 + -15t = 8(-21 + 11) Combine like terms: -21 + 11 = -10 36 + -15t = 8(-10) Multiply 8 * -10 36 + -15t = -80 Solving 36 + -15t = -80 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -15t = -80 + -36 Combine like terms: 36 + -36 = 0 0 + -15t = -80 + -36 -15t = -80 + -36 Combine like terms: -80 + -36 = -116 -15t = -116 Divide each side by '-15'. t = 7.733333333 Simplifying t = 7.733333333
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