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Simplifying 3 + (-4) = 4(t + 6) 3 + -4 = 4(t + 6) Combine like terms: 3 + -4 = -1 -1 = 4(t + 6) Reorder the terms: -1 = 4(6 + t) -1 = (6 * 4 + t * 4) -1 = (24 + 4t) Solving -1 = 24 + 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. -1 + -4t = 24 + 4t + -4t Combine like terms: 4t + -4t = 0 -1 + -4t = 24 + 0 -1 + -4t = 24 Add '1' to each side of the equation. -1 + 1 + -4t = 24 + 1 Combine like terms: -1 + 1 = 0 0 + -4t = 24 + 1 -4t = 24 + 1 Combine like terms: 24 + 1 = 25 -4t = 25 Divide each side by '-4'. t = -6.25 Simplifying t = -6.25
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