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Simplifying -4(t + -4) = -2(t + 3) + 24 Reorder the terms: -4(-4 + t) = -2(t + 3) + 24 (-4 * -4 + t * -4) = -2(t + 3) + 24 (16 + -4t) = -2(t + 3) + 24 Reorder the terms: 16 + -4t = -2(3 + t) + 24 16 + -4t = (3 * -2 + t * -2) + 24 16 + -4t = (-6 + -2t) + 24 Reorder the terms: 16 + -4t = -6 + 24 + -2t Combine like terms: -6 + 24 = 18 16 + -4t = 18 + -2t Solving 16 + -4t = 18 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 16 + -4t + 2t = 18 + -2t + 2t Combine like terms: -4t + 2t = -2t 16 + -2t = 18 + -2t + 2t Combine like terms: -2t + 2t = 0 16 + -2t = 18 + 0 16 + -2t = 18 Add '-16' to each side of the equation. 16 + -16 + -2t = 18 + -16 Combine like terms: 16 + -16 = 0 0 + -2t = 18 + -16 -2t = 18 + -16 Combine like terms: 18 + -16 = 2 -2t = 2 Divide each side by '-2'. t = -1 Simplifying t = -1
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