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Simplifying 10t + -15 + -4t = 8 + -2t + -15 Reorder the terms: -15 + 10t + -4t = 8 + -2t + -15 Combine like terms: 10t + -4t = 6t -15 + 6t = 8 + -2t + -15 Reorder the terms: -15 + 6t = 8 + -15 + -2t Combine like terms: 8 + -15 = -7 -15 + 6t = -7 + -2t Solving -15 + 6t = -7 + -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. -15 + 6t + 2t = -7 + -2t + 2t Combine like terms: 6t + 2t = 8t -15 + 8t = -7 + -2t + 2t Combine like terms: -2t + 2t = 0 -15 + 8t = -7 + 0 -15 + 8t = -7 Add '15' to each side of the equation. -15 + 15 + 8t = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 8t = -7 + 15 8t = -7 + 15 Combine like terms: -7 + 15 = 8 8t = 8 Divide each side by '8'. t = 1 Simplifying t = 1
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