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Simplifying 5x + 3y + 2x + 8m + 7y = 0 Reorder the terms: 8m + 5x + 2x + 3y + 7y = 0 Combine like terms: 5x + 2x = 7x 8m + 7x + 3y + 7y = 0 Combine like terms: 3y + 7y = 10y 8m + 7x + 10y = 0 Solving 8m + 7x + 10y = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7x' to each side of the equation. 8m + 7x + -7x + 10y = 0 + -7x Combine like terms: 7x + -7x = 0 8m + 0 + 10y = 0 + -7x 8m + 10y = 0 + -7x Remove the zero: 8m + 10y = -7x Add '-10y' to each side of the equation. 8m + 10y + -10y = -7x + -10y Combine like terms: 10y + -10y = 0 8m + 0 = -7x + -10y 8m = -7x + -10y Divide each side by '8'. m = -0.875x + -1.25y Simplifying m = -0.875x + -1.25y
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