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