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Simplifying 54 = 6(t + 7) + 12 Reorder the terms: 54 = 6(7 + t) + 12 54 = (7 * 6 + t * 6) + 12 54 = (42 + 6t) + 12 Reorder the terms: 54 = 42 + 12 + 6t Combine like terms: 42 + 12 = 54 54 = 54 + 6t Add '-54' to each side of the equation. 54 + -54 = 54 + -54 + 6t Combine like terms: 54 + -54 = 0 0 = 54 + -54 + 6t Combine like terms: 54 + -54 = 0 0 = 0 + 6t 0 = 6t Solving 0 = 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. 0 + -6t = 6t + -6t Remove the zero: -6t = 6t + -6t Combine like terms: 6t + -6t = 0 -6t = 0 Divide each side by '-6'. t = 0 Simplifying t = 0
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