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Simplifying 4(t + -3) + 8t = 7t + -7 Reorder the terms: 4(-3 + t) + 8t = 7t + -7 (-3 * 4 + t * 4) + 8t = 7t + -7 (-12 + 4t) + 8t = 7t + -7 Combine like terms: 4t + 8t = 12t -12 + 12t = 7t + -7 Reorder the terms: -12 + 12t = -7 + 7t Solving -12 + 12t = -7 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -12 + 12t + -7t = -7 + 7t + -7t Combine like terms: 12t + -7t = 5t -12 + 5t = -7 + 7t + -7t Combine like terms: 7t + -7t = 0 -12 + 5t = -7 + 0 -12 + 5t = -7 Add '12' to each side of the equation. -12 + 12 + 5t = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 5t = -7 + 12 5t = -7 + 12 Combine like terms: -7 + 12 = 5 5t = 5 Divide each side by '5'. t = 1 Simplifying t = 1
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