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Simplifying 3 + -4(t + 1) = 7 Reorder the terms: 3 + -4(1 + t) = 7 3 + (1 * -4 + t * -4) = 7 3 + (-4 + -4t) = 7 Combine like terms: 3 + -4 = -1 -1 + -4t = 7 Solving -1 + -4t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4t = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -4t = 7 + 1 -4t = 7 + 1 Combine like terms: 7 + 1 = 8 -4t = 8 Divide each side by '-4'. t = -2 Simplifying t = -2
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