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Simplifying -3(t + 4) = -1(t + -3) + 5t Reorder the terms: -3(4 + t) = -1(t + -3) + 5t (4 * -3 + t * -3) = -1(t + -3) + 5t (-12 + -3t) = -1(t + -3) + 5t Reorder the terms: -12 + -3t = -1(-3 + t) + 5t -12 + -3t = (-3 * -1 + t * -1) + 5t -12 + -3t = (3 + -1t) + 5t Combine like terms: -1t + 5t = 4t -12 + -3t = 3 + 4t Solving -12 + -3t = 3 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -12 + -3t + -4t = 3 + 4t + -4t Combine like terms: -3t + -4t = -7t -12 + -7t = 3 + 4t + -4t Combine like terms: 4t + -4t = 0 -12 + -7t = 3 + 0 -12 + -7t = 3 Add '12' to each side of the equation. -12 + 12 + -7t = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -7t = 3 + 12 -7t = 3 + 12 Combine like terms: 3 + 12 = 15 -7t = 15 Divide each side by '-7'. t = -2.142857143 Simplifying t = -2.142857143
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