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Simplifying 5t + 2(7t + -4) = 9t + -3t + 18 Reorder the terms: 5t + 2(-4 + 7t) = 9t + -3t + 18 5t + (-4 * 2 + 7t * 2) = 9t + -3t + 18 5t + (-8 + 14t) = 9t + -3t + 18 Reorder the terms: -8 + 5t + 14t = 9t + -3t + 18 Combine like terms: 5t + 14t = 19t -8 + 19t = 9t + -3t + 18 Reorder the terms: -8 + 19t = 18 + 9t + -3t Combine like terms: 9t + -3t = 6t -8 + 19t = 18 + 6t Solving -8 + 19t = 18 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -8 + 19t + -6t = 18 + 6t + -6t Combine like terms: 19t + -6t = 13t -8 + 13t = 18 + 6t + -6t Combine like terms: 6t + -6t = 0 -8 + 13t = 18 + 0 -8 + 13t = 18 Add '8' to each side of the equation. -8 + 8 + 13t = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 13t = 18 + 8 13t = 18 + 8 Combine like terms: 18 + 8 = 26 13t = 26 Divide each side by '13'. t = 2 Simplifying t = 2
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