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Simplifying (-5y + 4m + 3) + -1(3m + 5) = 0 Reorder the terms: (3 + 4m + -5y) + -1(3m + 5) = 0 Remove parenthesis around (3 + 4m + -5y) 3 + 4m + -5y + -1(3m + 5) = 0 Reorder the terms: 3 + 4m + -5y + -1(5 + 3m) = 0 3 + 4m + -5y + (5 * -1 + 3m * -1) = 0 3 + 4m + -5y + (-5 + -3m) = 0 Reorder the terms: 3 + -5 + 4m + -3m + -5y = 0 Combine like terms: 3 + -5 = -2 -2 + 4m + -3m + -5y = 0 Combine like terms: 4m + -3m = 1m -2 + 1m + -5y = 0 Solving -2 + 1m + -5y = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 1m + 2 + -5y = 0 + 2 Reorder the terms: -2 + 2 + 1m + -5y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1m + -5y = 0 + 2 1m + -5y = 0 + 2 Combine like terms: 0 + 2 = 2 1m + -5y = 2 Add '5y' to each side of the equation. 1m + -5y + 5y = 2 + 5y Combine like terms: -5y + 5y = 0 1m + 0 = 2 + 5y 1m = 2 + 5y Divide each side by '1'. m = 2 + 5y Simplifying m = 2 + 5y
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