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Simplifying (2t + -3) + -6t = 4 + -5(t + 2) Reorder the terms: (-3 + 2t) + -6t = 4 + -5(t + 2) Remove parenthesis around (-3 + 2t) -3 + 2t + -6t = 4 + -5(t + 2) Combine like terms: 2t + -6t = -4t -3 + -4t = 4 + -5(t + 2) Reorder the terms: -3 + -4t = 4 + -5(2 + t) -3 + -4t = 4 + (2 * -5 + t * -5) -3 + -4t = 4 + (-10 + -5t) Combine like terms: 4 + -10 = -6 -3 + -4t = -6 + -5t Solving -3 + -4t = -6 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. -3 + -4t + 5t = -6 + -5t + 5t Combine like terms: -4t + 5t = 1t -3 + 1t = -6 + -5t + 5t Combine like terms: -5t + 5t = 0 -3 + 1t = -6 + 0 -3 + 1t = -6 Add '3' to each side of the equation. -3 + 3 + 1t = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 1t = -6 + 3 1t = -6 + 3 Combine like terms: -6 + 3 = -3 1t = -3 Divide each side by '1'. t = -3 Simplifying t = -3
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