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Simplifying 30 = 6(t + -84) Reorder the terms: 30 = 6(-84 + t) 30 = (-84 * 6 + t * 6) 30 = (-504 + 6t) Solving 30 = -504 + 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. 30 + -6t = -504 + 6t + -6t Combine like terms: 6t + -6t = 0 30 + -6t = -504 + 0 30 + -6t = -504 Add '-30' to each side of the equation. 30 + -30 + -6t = -504 + -30 Combine like terms: 30 + -30 = 0 0 + -6t = -504 + -30 -6t = -504 + -30 Combine like terms: -504 + -30 = -534 -6t = -534 Divide each side by '-6'. t = 89 Simplifying t = 89
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