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Simplifying 6t + -2(5 + 4t) = 5 + 2t + -7 6t + (5 * -2 + 4t * -2) = 5 + 2t + -7 6t + (-10 + -8t) = 5 + 2t + -7 Reorder the terms: -10 + 6t + -8t = 5 + 2t + -7 Combine like terms: 6t + -8t = -2t -10 + -2t = 5 + 2t + -7 Reorder the terms: -10 + -2t = 5 + -7 + 2t Combine like terms: 5 + -7 = -2 -10 + -2t = -2 + 2t Solving -10 + -2t = -2 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -10 + -2t + -2t = -2 + 2t + -2t Combine like terms: -2t + -2t = -4t -10 + -4t = -2 + 2t + -2t Combine like terms: 2t + -2t = 0 -10 + -4t = -2 + 0 -10 + -4t = -2 Add '10' to each side of the equation. -10 + 10 + -4t = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -4t = -2 + 10 -4t = -2 + 10 Combine like terms: -2 + 10 = 8 -4t = 8 Divide each side by '-4'. t = -2 Simplifying t = -2
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