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Simplifying 47 + -10m = -3 + -5(7m + -5) Reorder the terms: 47 + -10m = -3 + -5(-5 + 7m) 47 + -10m = -3 + (-5 * -5 + 7m * -5) 47 + -10m = -3 + (25 + -35m) Combine like terms: -3 + 25 = 22 47 + -10m = 22 + -35m Solving 47 + -10m = 22 + -35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '35m' to each side of the equation. 47 + -10m + 35m = 22 + -35m + 35m Combine like terms: -10m + 35m = 25m 47 + 25m = 22 + -35m + 35m Combine like terms: -35m + 35m = 0 47 + 25m = 22 + 0 47 + 25m = 22 Add '-47' to each side of the equation. 47 + -47 + 25m = 22 + -47 Combine like terms: 47 + -47 = 0 0 + 25m = 22 + -47 25m = 22 + -47 Combine like terms: 22 + -47 = -25 25m = -25 Divide each side by '25'. m = -1 Simplifying m = -1
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