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Simplifying 5(t + 3.9) = 11t + -12.3 Reorder the terms: 5(3.9 + t) = 11t + -12.3 (3.9 * 5 + t * 5) = 11t + -12.3 (19.5 + 5t) = 11t + -12.3 Reorder the terms: 19.5 + 5t = -12.3 + 11t Solving 19.5 + 5t = -12.3 + 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. 19.5 + 5t + -11t = -12.3 + 11t + -11t Combine like terms: 5t + -11t = -6t 19.5 + -6t = -12.3 + 11t + -11t Combine like terms: 11t + -11t = 0 19.5 + -6t = -12.3 + 0 19.5 + -6t = -12.3 Add '-19.5' to each side of the equation. 19.5 + -19.5 + -6t = -12.3 + -19.5 Combine like terms: 19.5 + -19.5 = 0.0 0.0 + -6t = -12.3 + -19.5 -6t = -12.3 + -19.5 Combine like terms: -12.3 + -19.5 = -31.8 -6t = -31.8 Divide each side by '-6'. t = 5.3 Simplifying t = 5.3
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