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Simplifying -4(t + 3) + 2t = 9 + t Reorder the terms: -4(3 + t) + 2t = 9 + t (3 * -4 + t * -4) + 2t = 9 + t (-12 + -4t) + 2t = 9 + t Combine like terms: -4t + 2t = -2t -12 + -2t = 9 + t Solving -12 + -2t = 9 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -12 + -2t + -1t = 9 + t + -1t Combine like terms: -2t + -1t = -3t -12 + -3t = 9 + t + -1t Combine like terms: t + -1t = 0 -12 + -3t = 9 + 0 -12 + -3t = 9 Add '12' to each side of the equation. -12 + 12 + -3t = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -3t = 9 + 12 -3t = 9 + 12 Combine like terms: 9 + 12 = 21 -3t = 21 Divide each side by '-3'. t = -7 Simplifying t = -7
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