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Simplifying -6t + -12 + -6t = 10(t + 5) + 4 Reorder the terms: -12 + -6t + -6t = 10(t + 5) + 4 Combine like terms: -6t + -6t = -12t -12 + -12t = 10(t + 5) + 4 Reorder the terms: -12 + -12t = 10(5 + t) + 4 -12 + -12t = (5 * 10 + t * 10) + 4 -12 + -12t = (50 + 10t) + 4 Reorder the terms: -12 + -12t = 50 + 4 + 10t Combine like terms: 50 + 4 = 54 -12 + -12t = 54 + 10t Solving -12 + -12t = 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. -12 + -12t + -10t = 54 + 10t + -10t Combine like terms: -12t + -10t = -22t -12 + -22t = 54 + 10t + -10t Combine like terms: 10t + -10t = 0 -12 + -22t = 54 + 0 -12 + -22t = 54 Add '12' to each side of the equation. -12 + 12 + -22t = 54 + 12 Combine like terms: -12 + 12 = 0 0 + -22t = 54 + 12 -22t = 54 + 12 Combine like terms: 54 + 12 = 66 -22t = 66 Divide each side by '-22'. t = -3 Simplifying t = -3
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