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Simplifying 5(t + 19) + 10 = 6(t + 9) + 4t Reorder the terms: 5(19 + t) + 10 = 6(t + 9) + 4t (19 * 5 + t * 5) + 10 = 6(t + 9) + 4t (95 + 5t) + 10 = 6(t + 9) + 4t Reorder the terms: 95 + 10 + 5t = 6(t + 9) + 4t Combine like terms: 95 + 10 = 105 105 + 5t = 6(t + 9) + 4t Reorder the terms: 105 + 5t = 6(9 + t) + 4t 105 + 5t = (9 * 6 + t * 6) + 4t 105 + 5t = (54 + 6t) + 4t Combine like terms: 6t + 4t = 10t 105 + 5t = 54 + 10t Solving 105 + 5t = 54 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 105 + 5t + -10t = 54 + 10t + -10t Combine like terms: 5t + -10t = -5t 105 + -5t = 54 + 10t + -10t Combine like terms: 10t + -10t = 0 105 + -5t = 54 + 0 105 + -5t = 54 Add '-105' to each side of the equation. 105 + -105 + -5t = 54 + -105 Combine like terms: 105 + -105 = 0 0 + -5t = 54 + -105 -5t = 54 + -105 Combine like terms: 54 + -105 = -51 -5t = -51 Divide each side by '-5'. t = 10.2 Simplifying t = 10.2
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