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Simplifying -54 = -6(t + 7) Reorder the terms: -54 = -6(7 + t) -54 = (7 * -6 + t * -6) -54 = (-42 + -6t) Solving -54 = -42 + -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. -54 + 6t = -42 + -6t + 6t Combine like terms: -6t + 6t = 0 -54 + 6t = -42 + 0 -54 + 6t = -42 Add '54' to each side of the equation. -54 + 54 + 6t = -42 + 54 Combine like terms: -54 + 54 = 0 0 + 6t = -42 + 54 6t = -42 + 54 Combine like terms: -42 + 54 = 12 6t = 12 Divide each side by '6'. t = 2 Simplifying t = 2
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