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Simplifying -5t + -14 + 6t = 8 + 4t + -10 Reorder the terms: -14 + -5t + 6t = 8 + 4t + -10 Combine like terms: -5t + 6t = 1t -14 + 1t = 8 + 4t + -10 Reorder the terms: -14 + 1t = 8 + -10 + 4t Combine like terms: 8 + -10 = -2 -14 + 1t = -2 + 4t Solving -14 + 1t = -2 + 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. -14 + 1t + -4t = -2 + 4t + -4t Combine like terms: 1t + -4t = -3t -14 + -3t = -2 + 4t + -4t Combine like terms: 4t + -4t = 0 -14 + -3t = -2 + 0 -14 + -3t = -2 Add '14' to each side of the equation. -14 + 14 + -3t = -2 + 14 Combine like terms: -14 + 14 = 0 0 + -3t = -2 + 14 -3t = -2 + 14 Combine like terms: -2 + 14 = 12 -3t = 12 Divide each side by '-3'. t = -4 Simplifying t = -4
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