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Simplifying 4(t + -9) = 8(t + 3) Reorder the terms: 4(-9 + t) = 8(t + 3) (-9 * 4 + t * 4) = 8(t + 3) (-36 + 4t) = 8(t + 3) Reorder the terms: -36 + 4t = 8(3 + t) -36 + 4t = (3 * 8 + t * 8) -36 + 4t = (24 + 8t) Solving -36 + 4t = 24 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -36 + 4t + -8t = 24 + 8t + -8t Combine like terms: 4t + -8t = -4t -36 + -4t = 24 + 8t + -8t Combine like terms: 8t + -8t = 0 -36 + -4t = 24 + 0 -36 + -4t = 24 Add '36' to each side of the equation. -36 + 36 + -4t = 24 + 36 Combine like terms: -36 + 36 = 0 0 + -4t = 24 + 36 -4t = 24 + 36 Combine like terms: 24 + 36 = 60 -4t = 60 Divide each side by '-4'. t = -15 Simplifying t = -15
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