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Simplifying 6t + 2 = -10 + -6t + 7t Reorder the terms: 2 + 6t = -10 + -6t + 7t Combine like terms: -6t + 7t = 1t 2 + 6t = -10 + 1t Solving 2 + 6t = -10 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 2 + 6t + -1t = -10 + 1t + -1t Combine like terms: 6t + -1t = 5t 2 + 5t = -10 + 1t + -1t Combine like terms: 1t + -1t = 0 2 + 5t = -10 + 0 2 + 5t = -10 Add '-2' to each side of the equation. 2 + -2 + 5t = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 5t = -10 + -2 5t = -10 + -2 Combine like terms: -10 + -2 = -12 5t = -12 Divide each side by '5'. t = -2.4 Simplifying t = -2.4
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