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Simplifying 15 + -3(7 + -2t) = 3(t + -1) 15 + (7 * -3 + -2t * -3) = 3(t + -1) 15 + (-21 + 6t) = 3(t + -1) Combine like terms: 15 + -21 = -6 -6 + 6t = 3(t + -1) Reorder the terms: -6 + 6t = 3(-1 + t) -6 + 6t = (-1 * 3 + t * 3) -6 + 6t = (-3 + 3t) Solving -6 + 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. -6 + 6t + -3t = -3 + 3t + -3t Combine like terms: 6t + -3t = 3t -6 + 3t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 -6 + 3t = -3 + 0 -6 + 3t = -3 Add '6' to each side of the equation. -6 + 6 + 3t = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 3t = -3 + 6 3t = -3 + 6 Combine like terms: -3 + 6 = 3 3t = 3 Divide each side by '3'. t = 1 Simplifying t = 1
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