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Simplifying 4(t + -3) * 8 = 4(2t + -6) Reorder the terms: 4(-3 + t) * 8 = 4(2t + -6) Reorder the terms for easier multiplication: 4 * 8(-3 + t) = 4(2t + -6) Multiply 4 * 8 32(-3 + t) = 4(2t + -6) (-3 * 32 + t * 32) = 4(2t + -6) (-96 + 32t) = 4(2t + -6) Reorder the terms: -96 + 32t = 4(-6 + 2t) -96 + 32t = (-6 * 4 + 2t * 4) -96 + 32t = (-24 + 8t) Solving -96 + 32t = -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. -96 + 32t + -8t = -24 + 8t + -8t Combine like terms: 32t + -8t = 24t -96 + 24t = -24 + 8t + -8t Combine like terms: 8t + -8t = 0 -96 + 24t = -24 + 0 -96 + 24t = -24 Add '96' to each side of the equation. -96 + 96 + 24t = -24 + 96 Combine like terms: -96 + 96 = 0 0 + 24t = -24 + 96 24t = -24 + 96 Combine like terms: -24 + 96 = 72 24t = 72 Divide each side by '24'. t = 3 Simplifying t = 3
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