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Simplifying 10t + -8 + -2t = 4(t + 3) Reorder the terms: -8 + 10t + -2t = 4(t + 3) Combine like terms: 10t + -2t = 8t -8 + 8t = 4(t + 3) Reorder the terms: -8 + 8t = 4(3 + t) -8 + 8t = (3 * 4 + t * 4) -8 + 8t = (12 + 4t) Solving -8 + 8t = 12 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -8 + 8t + -4t = 12 + 4t + -4t Combine like terms: 8t + -4t = 4t -8 + 4t = 12 + 4t + -4t Combine like terms: 4t + -4t = 0 -8 + 4t = 12 + 0 -8 + 4t = 12 Add '8' to each side of the equation. -8 + 8 + 4t = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 4t = 12 + 8 4t = 12 + 8 Combine like terms: 12 + 8 = 20 4t = 20 Divide each side by '4'. t = 5 Simplifying t = 5
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