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Simplifying 6(t + -5) = 3t + -3 Reorder the terms: 6(-5 + t) = 3t + -3 (-5 * 6 + t * 6) = 3t + -3 (-30 + 6t) = 3t + -3 Reorder the terms: -30 + 6t = -3 + 3t Solving -30 + 6t = -3 + 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. -30 + 6t + -3t = -3 + 3t + -3t Combine like terms: 6t + -3t = 3t -30 + 3t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 -30 + 3t = -3 + 0 -30 + 3t = -3 Add '30' to each side of the equation. -30 + 30 + 3t = -3 + 30 Combine like terms: -30 + 30 = 0 0 + 3t = -3 + 30 3t = -3 + 30 Combine like terms: -3 + 30 = 27 3t = 27 Divide each side by '3'. t = 9 Simplifying t = 9
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