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Simplifying 2t + -10 + -6t + -21 = 12 + -15t + 5 Reorder the terms: -10 + -21 + 2t + -6t = 12 + -15t + 5 Combine like terms: -10 + -21 = -31 -31 + 2t + -6t = 12 + -15t + 5 Combine like terms: 2t + -6t = -4t -31 + -4t = 12 + -15t + 5 Reorder the terms: -31 + -4t = 12 + 5 + -15t Combine like terms: 12 + 5 = 17 -31 + -4t = 17 + -15t Solving -31 + -4t = 17 + -15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15t' to each side of the equation. -31 + -4t + 15t = 17 + -15t + 15t Combine like terms: -4t + 15t = 11t -31 + 11t = 17 + -15t + 15t Combine like terms: -15t + 15t = 0 -31 + 11t = 17 + 0 -31 + 11t = 17 Add '31' to each side of the equation. -31 + 31 + 11t = 17 + 31 Combine like terms: -31 + 31 = 0 0 + 11t = 17 + 31 11t = 17 + 31 Combine like terms: 17 + 31 = 48 11t = 48 Divide each side by '11'. t = 4.363636364 Simplifying t = 4.363636364
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