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Simplifying 2(t + -7) = 4t + -7(t + 3) Reorder the terms: 2(-7 + t) = 4t + -7(t + 3) (-7 * 2 + t * 2) = 4t + -7(t + 3) (-14 + 2t) = 4t + -7(t + 3) Reorder the terms: -14 + 2t = 4t + -7(3 + t) -14 + 2t = 4t + (3 * -7 + t * -7) -14 + 2t = 4t + (-21 + -7t) Reorder the terms: -14 + 2t = -21 + 4t + -7t Combine like terms: 4t + -7t = -3t -14 + 2t = -21 + -3t Solving -14 + 2t = -21 + -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. -14 + 2t + 3t = -21 + -3t + 3t Combine like terms: 2t + 3t = 5t -14 + 5t = -21 + -3t + 3t Combine like terms: -3t + 3t = 0 -14 + 5t = -21 + 0 -14 + 5t = -21 Add '14' to each side of the equation. -14 + 14 + 5t = -21 + 14 Combine like terms: -14 + 14 = 0 0 + 5t = -21 + 14 5t = -21 + 14 Combine like terms: -21 + 14 = -7 5t = -7 Divide each side by '5'. t = -1.4 Simplifying t = -1.4
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