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Simplifying 6t + 21 = (t + -3) * 7 Reorder the terms: 21 + 6t = (t + -3) * 7 Reorder the terms: 21 + 6t = (-3 + t) * 7 Reorder the terms for easier multiplication: 21 + 6t = 7(-3 + t) 21 + 6t = (-3 * 7 + t * 7) 21 + 6t = (-21 + 7t) Solving 21 + 6t = -21 + 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. 21 + 6t + -7t = -21 + 7t + -7t Combine like terms: 6t + -7t = -1t 21 + -1t = -21 + 7t + -7t Combine like terms: 7t + -7t = 0 21 + -1t = -21 + 0 21 + -1t = -21 Add '-21' to each side of the equation. 21 + -21 + -1t = -21 + -21 Combine like terms: 21 + -21 = 0 0 + -1t = -21 + -21 -1t = -21 + -21 Combine like terms: -21 + -21 = -42 -1t = -42 Divide each side by '-1'. t = 42 Simplifying t = 42
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