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Simplifying 3t + 16.9 = -1(11t + -29.5) Reorder the terms: 16.9 + 3t = -1(11t + -29.5) Reorder the terms: 16.9 + 3t = -1(-29.5 + 11t) 16.9 + 3t = (-29.5 * -1 + 11t * -1) 16.9 + 3t = (29.5 + -11t) Solving 16.9 + 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. 16.9 + 3t + 11t = 29.5 + -11t + 11t Combine like terms: 3t + 11t = 14t 16.9 + 14t = 29.5 + -11t + 11t Combine like terms: -11t + 11t = 0 16.9 + 14t = 29.5 + 0 16.9 + 14t = 29.5 Add '-16.9' to each side of the equation. 16.9 + -16.9 + 14t = 29.5 + -16.9 Combine like terms: 16.9 + -16.9 = 0.0 0.0 + 14t = 29.5 + -16.9 14t = 29.5 + -16.9 Combine like terms: 29.5 + -16.9 = 12.6 14t = 12.6 Divide each side by '14'. t = 0.9 Simplifying t = 0.9
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