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Simplifying t + 10 = 6t + -14 Reorder the terms: 10 + t = 6t + -14 Reorder the terms: 10 + t = -14 + 6t Solving 10 + t = -14 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 10 + t + -6t = -14 + 6t + -6t Combine like terms: t + -6t = -5t 10 + -5t = -14 + 6t + -6t Combine like terms: 6t + -6t = 0 10 + -5t = -14 + 0 10 + -5t = -14 Add '-10' to each side of the equation. 10 + -10 + -5t = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -5t = -14 + -10 -5t = -14 + -10 Combine like terms: -14 + -10 = -24 -5t = -24 Divide each side by '-5'. t = 4.8 Simplifying t = 4.8
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