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Simplifying 9x + 9x + -8t + 5m + -7v = 7x + 11x Reorder the terms: 5m + -8t + -7v + 9x + 9x = 7x + 11x Combine like terms: 9x + 9x = 18x 5m + -8t + -7v + 18x = 7x + 11x Combine like terms: 7x + 11x = 18x 5m + -8t + -7v + 18x = 18x Add '-18x' to each side of the equation. 5m + -8t + -7v + 18x + -18x = 18x + -18x Combine like terms: 18x + -18x = 0 5m + -8t + -7v + 0 = 18x + -18x 5m + -8t + -7v = 18x + -18x Combine like terms: 18x + -18x = 0 5m + -8t + -7v = 0 Solving 5m + -8t + -7v = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8t' to each side of the equation. 5m + -8t + 8t + -7v = 0 + 8t Combine like terms: -8t + 8t = 0 5m + 0 + -7v = 0 + 8t 5m + -7v = 0 + 8t Remove the zero: 5m + -7v = 8t Add '7v' to each side of the equation. 5m + -7v + 7v = 8t + 7v Combine like terms: -7v + 7v = 0 5m + 0 = 8t + 7v 5m = 8t + 7v Divide each side by '5'. m = 1.6t + 1.4v Simplifying m = 1.6t + 1.4v
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