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Simplifying 16 + -5(13t + -4) = 8(-2 + 11) Reorder the terms: 16 + -5(-4 + 13t) = 8(-2 + 11) 16 + (-4 * -5 + 13t * -5) = 8(-2 + 11) 16 + (20 + -65t) = 8(-2 + 11) Combine like terms: 16 + 20 = 36 36 + -65t = 8(-2 + 11) Combine like terms: -2 + 11 = 9 36 + -65t = 8(9) Multiply 8 * 9 36 + -65t = 72 Solving 36 + -65t = 72 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 + -65t = 72 + -36 Combine like terms: 36 + -36 = 0 0 + -65t = 72 + -36 -65t = 72 + -36 Combine like terms: 72 + -36 = 36 -65t = 36 Divide each side by '-65'. t = -0.5538461538 Simplifying t = -0.5538461538
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