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Simplifying 3t + -7(t + -7) = 4(t + -4) Reorder the terms: 3t + -7(-7 + t) = 4(t + -4) 3t + (-7 * -7 + t * -7) = 4(t + -4) 3t + (49 + -7t) = 4(t + -4) Reorder the terms: 49 + 3t + -7t = 4(t + -4) Combine like terms: 3t + -7t = -4t 49 + -4t = 4(t + -4) Reorder the terms: 49 + -4t = 4(-4 + t) 49 + -4t = (-4 * 4 + t * 4) 49 + -4t = (-16 + 4t) Solving 49 + -4t = -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. 49 + -4t + -4t = -16 + 4t + -4t Combine like terms: -4t + -4t = -8t 49 + -8t = -16 + 4t + -4t Combine like terms: 4t + -4t = 0 49 + -8t = -16 + 0 49 + -8t = -16 Add '-49' to each side of the equation. 49 + -49 + -8t = -16 + -49 Combine like terms: 49 + -49 = 0 0 + -8t = -16 + -49 -8t = -16 + -49 Combine like terms: -16 + -49 = -65 -8t = -65 Divide each side by '-8'. t = 8.125 Simplifying t = 8.125
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