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Simplifying -3(t + 4) = -4(t + -4) Reorder the terms: -3(4 + t) = -4(t + -4) (4 * -3 + t * -3) = -4(t + -4) (-12 + -3t) = -4(t + -4) Reorder the terms: -12 + -3t = -4(-4 + t) -12 + -3t = (-4 * -4 + t * -4) -12 + -3t = (16 + -4t) Solving -12 + -3t = 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. -12 + -3t + 4t = 16 + -4t + 4t Combine like terms: -3t + 4t = 1t -12 + 1t = 16 + -4t + 4t Combine like terms: -4t + 4t = 0 -12 + 1t = 16 + 0 -12 + 1t = 16 Add '12' to each side of the equation. -12 + 12 + 1t = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 1t = 16 + 12 1t = 16 + 12 Combine like terms: 16 + 12 = 28 1t = 28 Divide each side by '1'. t = 28 Simplifying t = 28
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