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Simplifying 7t + 6(t + -2) = 4t + 10(2t + 1) Reorder the terms: 7t + 6(-2 + t) = 4t + 10(2t + 1) 7t + (-2 * 6 + t * 6) = 4t + 10(2t + 1) 7t + (-12 + 6t) = 4t + 10(2t + 1) Reorder the terms: -12 + 7t + 6t = 4t + 10(2t + 1) Combine like terms: 7t + 6t = 13t -12 + 13t = 4t + 10(2t + 1) Reorder the terms: -12 + 13t = 4t + 10(1 + 2t) -12 + 13t = 4t + (1 * 10 + 2t * 10) -12 + 13t = 4t + (10 + 20t) Reorder the terms: -12 + 13t = 10 + 4t + 20t Combine like terms: 4t + 20t = 24t -12 + 13t = 10 + 24t Solving -12 + 13t = 10 + 24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24t' to each side of the equation. -12 + 13t + -24t = 10 + 24t + -24t Combine like terms: 13t + -24t = -11t -12 + -11t = 10 + 24t + -24t Combine like terms: 24t + -24t = 0 -12 + -11t = 10 + 0 -12 + -11t = 10 Add '12' to each side of the equation. -12 + 12 + -11t = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -11t = 10 + 12 -11t = 10 + 12 Combine like terms: 10 + 12 = 22 -11t = 22 Divide each side by '-11'. t = -2 Simplifying t = -2
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