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Simplifying 2(2t + -2) = 3 + -4(24 + -8t) Reorder the terms: 2(-2 + 2t) = 3 + -4(24 + -8t) (-2 * 2 + 2t * 2) = 3 + -4(24 + -8t) (-4 + 4t) = 3 + -4(24 + -8t) -4 + 4t = 3 + (24 * -4 + -8t * -4) -4 + 4t = 3 + (-96 + 32t) Combine like terms: 3 + -96 = -93 -4 + 4t = -93 + 32t Solving -4 + 4t = -93 + 32t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-32t' to each side of the equation. -4 + 4t + -32t = -93 + 32t + -32t Combine like terms: 4t + -32t = -28t -4 + -28t = -93 + 32t + -32t Combine like terms: 32t + -32t = 0 -4 + -28t = -93 + 0 -4 + -28t = -93 Add '4' to each side of the equation. -4 + 4 + -28t = -93 + 4 Combine like terms: -4 + 4 = 0 0 + -28t = -93 + 4 -28t = -93 + 4 Combine like terms: -93 + 4 = -89 -28t = -89 Divide each side by '-28'. t = 3.178571429 Simplifying t = 3.178571429
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