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Simplifying 3t + 16 = -1(11t + -29.5) Reorder the terms: 16 + 3t = -1(11t + -29.5) Reorder the terms: 16 + 3t = -1(-29.5 + 11t) 16 + 3t = (-29.5 * -1 + 11t * -1) 16 + 3t = (29.5 + -11t) Solving 16 + 3t = 29.5 + -11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '11t' to each side of the equation. 16 + 3t + 11t = 29.5 + -11t + 11t Combine like terms: 3t + 11t = 14t 16 + 14t = 29.5 + -11t + 11t Combine like terms: -11t + 11t = 0 16 + 14t = 29.5 + 0 16 + 14t = 29.5 Add '-16' to each side of the equation. 16 + -16 + 14t = 29.5 + -16 Combine like terms: 16 + -16 = 0 0 + 14t = 29.5 + -16 14t = 29.5 + -16 Combine like terms: 29.5 + -16 = 13.5 14t = 13.5 Divide each side by '14'. t = 0.9642857143 Simplifying t = 0.9642857143
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