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Simplifying 19 + 10x + 8m + -3x + -5m + 28 = 0 Reorder the terms: 19 + 28 + 8m + -5m + 10x + -3x = 0 Combine like terms: 19 + 28 = 47 47 + 8m + -5m + 10x + -3x = 0 Combine like terms: 8m + -5m = 3m 47 + 3m + 10x + -3x = 0 Combine like terms: 10x + -3x = 7x 47 + 3m + 7x = 0 Solving 47 + 3m + 7x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + 3m + -47 + 7x = 0 + -47 Reorder the terms: 47 + -47 + 3m + 7x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 3m + 7x = 0 + -47 3m + 7x = 0 + -47 Combine like terms: 0 + -47 = -47 3m + 7x = -47 Add '-7x' to each side of the equation. 3m + 7x + -7x = -47 + -7x Combine like terms: 7x + -7x = 0 3m + 0 = -47 + -7x 3m = -47 + -7x Divide each side by '3'. m = -15.66666667 + -2.333333333x Simplifying m = -15.66666667 + -2.333333333x
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