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Simplifying 3(t + -4) = 4(t + 5) Reorder the terms: 3(-4 + t) = 4(t + 5) (-4 * 3 + t * 3) = 4(t + 5) (-12 + 3t) = 4(t + 5) Reorder the terms: -12 + 3t = 4(5 + t) -12 + 3t = (5 * 4 + t * 4) -12 + 3t = (20 + 4t) Solving -12 + 3t = 20 + 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 = 20 + 4t + -4t Combine like terms: 3t + -4t = -1t -12 + -1t = 20 + 4t + -4t Combine like terms: 4t + -4t = 0 -12 + -1t = 20 + 0 -12 + -1t = 20 Add '12' to each side of the equation. -12 + 12 + -1t = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -1t = 20 + 12 -1t = 20 + 12 Combine like terms: 20 + 12 = 32 -1t = 32 Divide each side by '-1'. t = -32 Simplifying t = -32
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