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Simplifying (t + -3) * 7 = 6t + 24 Reorder the terms: (-3 + t) * 7 = 6t + 24 Reorder the terms for easier multiplication: 7(-3 + t) = 6t + 24 (-3 * 7 + t * 7) = 6t + 24 (-21 + 7t) = 6t + 24 Reorder the terms: -21 + 7t = 24 + 6t Solving -21 + 7t = 24 + 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. -21 + 7t + -6t = 24 + 6t + -6t Combine like terms: 7t + -6t = 1t -21 + 1t = 24 + 6t + -6t Combine like terms: 6t + -6t = 0 -21 + 1t = 24 + 0 -21 + 1t = 24 Add '21' to each side of the equation. -21 + 21 + 1t = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 1t = 24 + 21 1t = 24 + 21 Combine like terms: 24 + 21 = 45 1t = 45 Divide each side by '1'. t = 45 Simplifying t = 45
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