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Simplifying 10(9m + 5) = -5(4m + 52) Reorder the terms: 10(5 + 9m) = -5(4m + 52) (5 * 10 + 9m * 10) = -5(4m + 52) (50 + 90m) = -5(4m + 52) Reorder the terms: 50 + 90m = -5(52 + 4m) 50 + 90m = (52 * -5 + 4m * -5) 50 + 90m = (-260 + -20m) Solving 50 + 90m = -260 + -20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20m' to each side of the equation. 50 + 90m + 20m = -260 + -20m + 20m Combine like terms: 90m + 20m = 110m 50 + 110m = -260 + -20m + 20m Combine like terms: -20m + 20m = 0 50 + 110m = -260 + 0 50 + 110m = -260 Add '-50' to each side of the equation. 50 + -50 + 110m = -260 + -50 Combine like terms: 50 + -50 = 0 0 + 110m = -260 + -50 110m = -260 + -50 Combine like terms: -260 + -50 = -310 110m = -310 Divide each side by '110'. m = -2.818181818 Simplifying m = -2.818181818
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