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Simplifying 7(2t + -4) = 3(7t + -2) * 18 Reorder the terms: 7(-4 + 2t) = 3(7t + -2) * 18 (-4 * 7 + 2t * 7) = 3(7t + -2) * 18 (-28 + 14t) = 3(7t + -2) * 18 Reorder the terms: -28 + 14t = 3(-2 + 7t) * 18 Reorder the terms for easier multiplication: -28 + 14t = 3 * 18(-2 + 7t) Multiply 3 * 18 -28 + 14t = 54(-2 + 7t) -28 + 14t = (-2 * 54 + 7t * 54) -28 + 14t = (-108 + 378t) Solving -28 + 14t = -108 + 378t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-378t' to each side of the equation. -28 + 14t + -378t = -108 + 378t + -378t Combine like terms: 14t + -378t = -364t -28 + -364t = -108 + 378t + -378t Combine like terms: 378t + -378t = 0 -28 + -364t = -108 + 0 -28 + -364t = -108 Add '28' to each side of the equation. -28 + 28 + -364t = -108 + 28 Combine like terms: -28 + 28 = 0 0 + -364t = -108 + 28 -364t = -108 + 28 Combine like terms: -108 + 28 = -80 -364t = -80 Divide each side by '-364'. t = 0.2197802198 Simplifying t = 0.2197802198
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