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