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Simplifying 6m + 2n + -10m + 10(4n) = 0 Remove parenthesis around (4n) 6m + 2n + -10m + 10 * 4n = 0 Multiply 10 * 4 6m + 2n + -10m + 40n = 0 Reorder the terms: 6m + -10m + 2n + 40n = 0 Combine like terms: 6m + -10m = -4m -4m + 2n + 40n = 0 Combine like terms: 2n + 40n = 42n -4m + 42n = 0 Solving -4m + 42n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42n' to each side of the equation. -4m + 42n + -42n = 0 + -42n Combine like terms: 42n + -42n = 0 -4m + 0 = 0 + -42n -4m = 0 + -42n Remove the zero: -4m = -42n Divide each side by '-4'. m = 10.5n Simplifying m = 10.5n
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