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Simplifying t + 10 = 7t + -17 Reorder the terms: 10 + t = 7t + -17 Reorder the terms: 10 + t = -17 + 7t Solving 10 + t = -17 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 10 + t + -7t = -17 + 7t + -7t Combine like terms: t + -7t = -6t 10 + -6t = -17 + 7t + -7t Combine like terms: 7t + -7t = 0 10 + -6t = -17 + 0 10 + -6t = -17 Add '-10' to each side of the equation. 10 + -10 + -6t = -17 + -10 Combine like terms: 10 + -10 = 0 0 + -6t = -17 + -10 -6t = -17 + -10 Combine like terms: -17 + -10 = -27 -6t = -27 Divide each side by '-6'. t = 4.5 Simplifying t = 4.5
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