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Simplifying 3(t + 4) = 4(t + -4) Reorder the terms: 3(4 + t) = 4(t + -4) (4 * 3 + t * 3) = 4(t + -4) (12 + 3t) = 4(t + -4) Reorder the terms: 12 + 3t = 4(-4 + t) 12 + 3t = (-4 * 4 + t * 4) 12 + 3t = (-16 + 4t) Solving 12 + 3t = -16 + 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 = -16 + 4t + -4t Combine like terms: 3t + -4t = -1t 12 + -1t = -16 + 4t + -4t Combine like terms: 4t + -4t = 0 12 + -1t = -16 + 0 12 + -1t = -16 Add '-12' to each side of the equation. 12 + -12 + -1t = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -1t = -16 + -12 -1t = -16 + -12 Combine like terms: -16 + -12 = -28 -1t = -28 Divide each side by '-1'. t = 28 Simplifying t = 28
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