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Simplifying 9t + -21 = 3(t + -7) + 62 Reorder the terms: -21 + 9t = 3(t + -7) + 62 Reorder the terms: -21 + 9t = 3(-7 + t) + 62 -21 + 9t = (-7 * 3 + t * 3) + 62 -21 + 9t = (-21 + 3t) + 62 Reorder the terms: -21 + 9t = -21 + 62 + 3t Combine like terms: -21 + 62 = 41 -21 + 9t = 41 + 3t Solving -21 + 9t = 41 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -21 + 9t + -3t = 41 + 3t + -3t Combine like terms: 9t + -3t = 6t -21 + 6t = 41 + 3t + -3t Combine like terms: 3t + -3t = 0 -21 + 6t = 41 + 0 -21 + 6t = 41 Add '21' to each side of the equation. -21 + 21 + 6t = 41 + 21 Combine like terms: -21 + 21 = 0 0 + 6t = 41 + 21 6t = 41 + 21 Combine like terms: 41 + 21 = 62 6t = 62 Divide each side by '6'. t = 10.33333333 Simplifying t = 10.33333333
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